Which statement BEST describes how the graph of g(x) = – 3x2 compares to the graph of f(x) = x2 ?


A
The graph of g(x) is a reflection of f(x) across the x-axis.
B
The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis
C
The graph of g(x) is a vertical stretch of f(x) by a factor of 3.
D
The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.

Answers

Answer 1

The transformations of f(x) are (d) The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.

How to describe the transformation from the parent function?

From the question, we have the following function that can be used in our computation:

f(x) = x²

g(x) = -3x²

Mathematically, these equations can be represented as

g(x) = -3f(x)

The above equations implies that, we have the transformation to be:

The 3 implies that the function f(x) is vertically stretch by a factor of 3The - implies that it is reflected across the x-axis

Hence, the transformed function is (d)

Read more about transformation at

brainly.com/question/27224272

#SPJ1


Related Questions

6 times the sum of a number and ten is 60
What is the expression for this

Answers

Answer:

The equation is 6(x + 10) = 60, and the answer to the equation is 0

Step-by-step explanation:

Start by formatting the problem as [tex]6(x+10)=60[/tex]. Then, use the distributive property so that the problem is [tex]6x + 60 = 60[/tex]. After this, subtract 60 from both sides to isolate the variable, making the problem [tex]6x=0[/tex]. Finally, divide both sides by 0, which will get you an answer of [tex]x=0[/tex].

A bag of 8 apples costs $1.50 at Sam’s Orchard. a. At this same rate, how much would 18 apples cost? b. How many apples could you buy for $5.00

Answers

Answer:

cost for 18 apples:  $3.38

$5 will buy 26 apples

Step-by-step explanation:

let 'a' = apples

1.50/8 = cost per apple

$0.1875 for one apple

cost for 18 apples:  0.1875 x 18 = $3.38

5.00 / 0.1875 = number of apples for $5  → 26

Eight people met in a public park for a nature walk. Before they set off to look for birds, they all introduce themselves and each person shook hands with each of the other people. How many handshake were exchanged?

Answers

Answer:

56 handshakes

Step-by-step explanation:

one person shakes seven hands

eight people shook seven hands each

8×7=56

Subtract using a vertical format. (5x3 + 5x + 2) − (−5x2 + 2x + 1)

Answers

I need glasses I can’t see your handwriting

Please help me :) 25 points

Answers

Answer:

D (bottom right)

Step-by-step explanation:

Using the vertical line test, only D passes.

Hope that helps

In a chess club there are 10 males and 15 females. What percentage of the club is females?

Answers

Answer:

60%

Step-by-step explanation:

15 out of 25 is 60%

25 is the total people in the club

Hope this helps

A study of more than 3,000 toco toucans found that their weights were approximately Normally distributed, with a mean
of 20 ounces and a standard deviation of 2.3 ounces. Let Y be the weight of a randomly chosen toco toucan. Which of
the following correctly interprets the value of P(Y < 16)?
Find the Z-table here.
O P(Y< 16) = 0.50. About 50% of all toco toucans weigh less than 16 ounces.
OP(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces.
O P(Y < 16) = 0.959. About 95.9% of all toco toucans weigh less than 16 ounces.
P(Y < 16) = 0.041. About 4.1% of the toco toucans from this group weigh less than 16 ounces.
O P(Y< 16) = 0.959. About 95.9% of the toco toucans from this group weigh less than 16 ounces.

Answers

Using the normal distribution, it is found that the correct option is:

P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

Mean of 20 ounces, hence [tex]\mu = 20[/tex].Standard deviation of 2.3 ounces, hence [tex]\sigma = 2.3[/tex]

P(Y < 16) is the p-value of Z when X = 16, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16 - 20}{2.3}[/tex]

[tex]Z = -1.74[/tex]

[tex]Z = -1.74[/tex] has a p-value of 0.041.

This is valid for the entire population, hence, the correct interpretation is:

P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces

A similar problem is given at https://brainly.com/question/24663213

what is the explanation

Answers

Answer:

the explanation of wot

Step-by-step explanation:

If you give an explanation of something, you give details about it or describe it so that it can be understood.

Add the equations.3x-y=-5
7x+y=15

Answers

Step-by-step explanation:

it is like a regular addition of numbers. you add the different positions.

3x + 7x = 10x

-y + y = 0

-5 + 15 = 10

so, D. is the right answer : 10x = 10

what is the equation of the line that passes through point [3,-1] and has a slope of 2

Answers

Answer:

y = 2x - 7

Step-by-step explanation:

lmk if you want an explanation

3 3/4 divided by 1 1/3 in fraction answer

Answers

Answer: 4/3

Step-by-step explanation:

What is the factored form of 42 + 63?

Answers

Answer:

3 * 5 * 7

when i say * i mean the multiplication sign.

Step-by-step explanation:

Just ask. <3

(✿◡‿◡) HAPPY HOLIDAYS!!!

 :D

Answer:

The GCF of 42 and 63 is 21. To calculate the greatest common factor (GCF) of 42 and 63, we need to factor each number (factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42; factors of 63 = 1, 3, 7, 9, 21, 63) and choose the greatest factor that exactly divides both 42 and 63, i.e., 21.

Step-by-step explanation:

Please help me ASAPPPPP

Answers

Answer:

20 0-6

Step-by-step explanation:

x= (2,0)

y= (0,-6)

What is the rate unit of running 4 laps in one minute?
0 4
minutes
laps per minute
laps

Answers

Answer:

laps per minute

Step-by-step explanation

because it is asking you to find the unit of laps per minute.

p-3 1/5=7 1/3 I need help​

Answers

We have:

[tex]p-3\frac{1}{5} =7\frac{1}{3} => p=7\frac{1}{3}+3\frac{1}{5}= 10\frac{8}{15}[/tex]

ok done. Thank to me :>

Jacob put hummingbird feeders in his garden. To make the food for his small feeder, he mixed sugar with warm water. He used the same amount of sugar for his large feeder, but he added more water to completely fill it. Which mixture was sweeter?

Answers

Answer:

Step-by-step explanation:

The smaller feeder is sweeter as it has more sugar molecules per unit of water than the larger feeder.

Examine the system of equations.
y = –3x – 2,
y = 7
The value of x is ______.
The solution to this system of equations is _______.

Answers

Answer:

[tex]\boxed{\boxed{\sf x=-3}}[/tex]

Step-by-step explanation:

[tex]\sf y = -3x - 2[/tex]

[tex]\sf y=7[/tex]

We'll substitute y into the equation:

[tex]\sf 7 = -3x - 2[/tex]

Switch sides:

[tex]\sf -3x-2=7[/tex]

Add 2 to both sides

[tex]\sf -3x-2+2=7+2[/tex]

[tex]\sf -3x=9[/tex]

Divide both sides by -3:

[tex]\sf \cfrac{-3x}{-3}=\cfrac{9}{-3}[/tex]

[tex]\sf x=-3[/tex]

Therefore, the value of x/solution is -3

________________________________________

Answer:

The value of x is  

✔ –3

The solution to this system of equations is  

✔ (–3, 7)

Step-by-step explanation:

Consider points a, b, and c in the graph below. Determine which of these points are relative maxima on the interval x = –4 to x = 0.

A) None of these
B) B
C) a and b
D) c

Answers

Answer:

c

Step-by-step explanation:

Like I said in my previous answer, you have to look at the point that kinda "pokes out" of the graph, which in the interval (-4,0) is a and b

Answer:

See image.

Step-by-step explanation:

"Relative maxima" just means is this the highest spot in the graph in this very small neighborhood. (that's not a technical term)

On the interval x=-4 to x=0 is like asking you to only consider certain house addresses when you are looking for your answer. See image.

Multiply the two fractions. Simplify your answer. 1/2 x 4/7

Answers

Answer:

2/7

Step-by-step explanation:

The solution of fractions after multiplying the two fractions would be [tex]\dfrac{2}{7}[/tex].

Given that,

Multiply the two fractions,

[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]

Used the concept of multiplication which states that,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Now, simplify the fractions by multiplying,

[tex]\dfrac{1}{2} \times \dfrac{4}{7}[/tex]

[tex]\dfrac{4}{14}[/tex]

Simplify for the simplest form,

[tex]\dfrac{2}{7}[/tex]

So, the solution is [tex]\dfrac{2}{7}[/tex].

To learn more about multiplication visit:

https://brainly.com/question/10873737

#SPJ6

Meanwhile, plants are absorbing_(H2O) through their roots and storing it within their cells

Answers

The plants intake Water and Carbon Dioxide those are the reactants And after the plant is exposed to light energy also known as sunlight it produces glucose and oxygen which is the process of photosynthesis and and it takes place in the chloroplast of a plant cell.

Step-by-step explanation:

H²O+CO²-Sunlight-C⁶H¹²O⁶+O²

Chemical Equation for Photosynthesis

Which equation has a maximum at y = 5 for 0 < x < 27?

Answers

Answer:

To determine which equation has a maximum at y =5, you will need to compare their graphs looking only at the x-values between 0 and 27.

Step-by-step explanation:

The probability of any player winning 1 of 4 games is shown in the table. Three friends are going to play one of the games. The friends want to play the fairest game. Which game should they play? A) Game #1 B) Game #2 C) Game #3 D) Game #4

Answers

Answer:

Game #1B is the correct answer i guess so

What is the sum of (X^2-1+7-3x-x2)(x)

Answers

I think you mean product- that would be:
x^3-5x^2+6x
Step by step solution:
(x^2-1+7-3x-2x)(x)
x^3-x+7x-3x^2-2x^2
x^3+6x-5x^2
The right way to write it is the power of x decreasing so it would be x^3-5x^2+6x

Find three consecutive even integers such that the
sum of the smallest and the largest is 36.

Answers

n= smallest integer

n+2= middle integer

n+4= largest integer

n + n + 4 = 36

2n+ 4 = 36

2n=32

n= 16 which means that the smallest integer is 16

then you substitute it into the equation for the largest integer

n+4=20

16, 18, 20 is the answer

√((2+√3)÷(2-√3))

what is the answer?​

Answers

Ok done. Thank to me:>

Pls HELP meeee. My child needs some real help I I wish I would’ve took those college lessons.

Answers

I think the answer would be 75%, meaning that the orange juice would have a greater percentage of water.

Answer:

75%

Step-by-step explanation:

100/64*48=75%

Okie I need help I don’t understand thank you

Answers

Answer:

12

Step-by-step explanation:

8x+4x = 12x

-3+3= 0

12x+0=180

x=180/12

x=15


f(x)=√x
g(x) = √ 2 - x, find (fºg)x.

Answers

Answer:

∘g(x)=2x2−4x−3. And g∘f(x)=(2x−3)(2x−5)

2+2 THIS IS A LIFE OR DEATH QUESTION PLZZ

Answers

The ANSWER for this question is 2+2=4

UMMM I THINK IT'S UH A CARROT, I'M SMART the real answer is 4 though lol

Which choice shows (50+30)+40 correctly written using associative property and then correctly simplified

Answers

Answer:

The first option as you do what is in parentheses first.

Step-by-step explanation:

Other Questions
PLEASE HELP!!! I will mark Brainliest!!! How could you know if two substances were the same based upon 2 chemical reactions? There is a cookie jar in Julio's kitchen filled with 7 cookies. His mother bakes some more cookies. Now there are 14 cookies. How many cookies did Julio's mother bake. they (not contact).....to their family since they went away what is the capacitance of capacitor Sally's Stuffed Animal Company charges $0.75 per pound to ship stuffed animals. Part A: Write an equation to determine the total cost, c, to ship p pounds of stuffed animals. Use your equation to determine the cost of shipping 2 pounds of stuffed animals. (6 points) Part B: If the company reduces the cost to ship the stuffed animals by $0.05 per pound, write an equation to determine the total cost, c, to ship p pounds of stuffed animals with the reduced cost. (4 points) which is the least per pound 5 pounds of chicken for 9.45,3 pounds for 5.97, or 1 pound for 2.05 In the 1970 where did the most of the population explosion happen Shira wants to do well on her next test so her grade in the class does not fall. This is an example of which type of motivation?. In hiking up a mountain you are likely to pass through various community types as you proceed from the low-elevation lands to the summit. This change in community is called Select the correct answer.Why did some historians replace the AD-BC dating system with the BCE-CE system? The hardest thing to do and why what type of elements form ionic bonds with metals Plz help me NOW I will mark u brainliest HELP ME PLEASEEEE I WILL GIVE BRAINLIEST AND POINTS Choose the true statement about virtue-based ethics. i. According to the principles of virtue-based ethics, character is more important than actions. ii. According to the principles of virtue-based ethics, right and wrong are assessed using culture as a guide. iii. According to the principles of virtue-based ethics, the consequences of actions are very important. iv. According to the principles of virtue-based ethics, rules are used to evaluate actions. A fair coin is tossed four times. What is the probability of obtaining at least three tails? why cant you eat grapefruit with certain medications Please see all the screenshots. I have included multiply problems in this one question. WHAT IS 10x+55 = 100 To become a member of the book-of-the-month club there is a $40 sign-up fee and a $2 monthly fee. Write an equation in slope-intercept form that models this situation.