The equation of the translated function is:
g(x) = (x + 3)^2 - 2
How to get the equation for the blue graph?
We can see that the blue graph is a translation of the red one, where the equation for the red graph is:
f(x) = x^2
Remember that the translations are:
Horizontal translation:
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N).
If N is positive, the shift is to the left.If N is negative, the shift is to the right.Vertical translation:
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N.
If N is positive, the shift is upwards.If N is negative, the shift is downwards.By analyzing the vertices, we can see that the vertex of the blue graph is at (-3, -2) so we have a translation of 3 units to the left and 2 units down, meaning that we have:
g(x) = f(x + 3) - 2 = (x + 3)^2 - 2
So the correct option is A.
If you want to learn more about translations, you can read:
https://brainly.com/question/11468584
A company determined it could use equation y = -25/3x + 250,000 to predict its total number of customers, y, based on the number of days x. What is the meaning of the slop of this function
Answer:
The slope is meant to show the relationship between the x(number of days) variable and the y (total number of customers) variable.
When the number is positive, it means that both x and y move in the same direction which means that as x increases, so does y.
When this number is negative, it means that hen x increases, y decreases.
In this scenario therefore, as the number of days increases, the total number of customers decreases.
HELP THIS IS DUE TOMORROW!!!!
Answer:
The answer is 1,136
Answer:
20/89
Step-by-step explanation:
The question wants the student from Gryffindor. So we will take the total of the Gryffindor student only is 178
Then they want the student who has owl then is 40.
So you use 40/178
And get the simple fraction 20/89
Yh Helllpppp I will give brainliest!
Step-by-step explanation:
TSA = 3543.72 hope its helpfull
Give the trigonometric ratio as a fraction:
Tan Z
X
24
26
Y
10
z
Answer:
your answer is B
Step-by-step explanation:
Answer:
24/ 10
Step-by-step explanation:
We know,
tan θ = opposite/adjacent
∴ tan Z = 24/ 10
The equation of three other functions are given which function or functions have a slope equal to the slope of Function 1
Answer:
See Explanation
Step-by-step explanation:
Required
Function(s) with the same slope as function 1
The question is incomplete as function 1 and the three additional functions are not given.
However, I will provide a general explanation.
A slope is represented as:
[tex]y = mx + b[/tex]
Where
[tex]m \to[/tex] slope
So, considering the following equations
[tex]y = 2x + 3[/tex]
[tex]y = \frac{3x}{2} + 9[/tex]
[tex]y = 2x - 5[/tex]
[tex]y = -2x + 3[/tex]
The following equations have the same slope
[tex]y = 2x + 3[/tex] and [tex]y = 2x - 5[/tex]
Because: [tex]y = mx + b[/tex] implies that:
[tex]m = 2[/tex] for [tex]y = 2x + 3[/tex] and [tex]y = 2x - 5[/tex]
Pls help me! Look at this ss
Answer:
4
Step-by-step explanation:
need to find lateral area but i don’t know how.Please help
Answer: 37.69911184
Step-by-step explanation: π(4)(3) = 12π = 37.69911184
d1=3.5in;d2=18in.
what is the area of the rhombus
Answer:
Area = 31.5 squared inches
Step-by-step explanation:
I am assuming d1 and d2 diagnol lengths, so if that's true, then answer would A=(d1*d2)/2 (3.5*18)/2 = 63/2 = 31.5 squared inches
Use a net of the square pyramid necessary to fnd the surface area of the pyramid
Lily has 642 stamps in total. She has 54 US stamps than foreign stamps. How many does she have each
Answer:
answer in photo
hope this helps :)
Step-by-step explanation:
Answer:
348 US and 294 Foreign
Step-by-step explanation:
642 - 54 = 588
588 /2= 294
294+54=348
Maria put 18 crayons in 3 different baskets. She put the number of crayons in each basket.
How many crayons did Maria put in each basket?
Answer:
There are 18 crayons, and 3 baskets. Each basket has the same number of crayons. Therefore, we divide 18 into 3 different groups (each group = each basket). So, we have 18 ÷ 3, which is 6.
So, there are 6 crayons in each basket.
Answer:
6
Step-by-step explanation:
Is there any one who Know ' KRIS WU'
is there anyone who is the fan of Kris Wu.
Kris' picture is attached above.
Yeah, the ex member of Exo.
I have watched his movie
Never Gone
Divide. Reduce your answer to lowest terms.
5 and 5/7 divided by -5
Answer:
-1 and 1/7
Step-by-step explanation:
one way
5 and 5/7 = ((5*7)+5) / 7 = 40/7
(40/7 ) / -5 = (40/7) * (-1/5) = -40/35 = -1 and 5/35 = -1 and 1/7
another way
(5 and 5/7) / -5 = 5/-5 and (5/7) * (1/5) = -1 and 1/7
. What is the volume of a storage box that is 18 inches long, 6 inches high, and 10 inches wide? Write the formula and the correct answer. (Remember the answer will be inches)
Answer:
1080 in.³
Step-by-step explanation:
The answer is in cubic inches, not inches.
V = LWH
V = (18 in.)(10 in.)(6 in.)
V = 1080 in.³
My bill at the hair salon came to $110. If I tip my stylist 20% what will the total bill be
Answer:
I think it would be 132
Step-by-step explanation:
20% of 110=22 (22+110)=132
a circle is graphed on a coordinate grid and tgen reflected across the y-axis. if the center of the original circle was located at (x,y). which ordered pair represents the center of the new circle after the transformation
Answer:
The new center is the point (-x, y)
Step-by-step explanation:
When you reflect a point across the y-axis, the x-coordinate changes to its opposite (additive inverse).
See the attached image for an example.
The circle on the right has center (3, 1). When reflected across the y-axis, the reflected center is (-3, 1).
which expression is equivalent to 4+x+x+2x+5+3+x?
A.17x
B.5x+14
C.4x+14
D.2x+15x
[tex]\boxed{B.\:5x\:+\:12}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]4 + x + x + 2x + 5 + 3 + x \\ = (x + x + 2x + x) + 12 \\ since \: they \: are \: like \: terms, \: we \: can \: add \: them \\ = 5x + 12[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Find the length of the missing side. Enter your answer as a number only.
Answer:
using formula:
a^2+b^2=c^2
54^2+x^2=90^2
2916+x^2=8100
x^2=8100-2916
x=[tex]\sqrt{5184}[/tex]
x=72 m
Step-by-step explanation:
PLEASE HELP!! I WILL MARK BRAINLIEST
What is the equation of this trend line enter your answers by fulling in the boxes K= J+
Answer:
K = -2J + 24
Step-by-step explanation:
Find two point of the line
(12,0) ; (10,4)
Use this equation:
(y-y1)/(y2-y1) = (x-x1)/(x2-x1)
(y-0)/(4-0) = (x-12)/(10-12)
y/4 = (x-12)/(-2)
y/4 = (-x+12)/2
y = -2x + 24
What’s the answer of B? Help me please. It’s due in 28 mins :((
Answer:
43.9
Step-by-step explanation:
So this is as long as ____ so I'm not going to write the steps.
If it requires them, then I will.
Add everything together:
Gives you 1317.
Divide it by the number of objects:
30
1317/30=43.9
Find the value of each variable.
a
59
72
A. a = 59°; b = 49°; c = 72°; d = 98°
B. a = 59°; b = 52°; c = 72°; d = 96°
C. a = 118°; b = 49°; c = 144°; d = 98°
O
D. a = 118°; b = 49°; c = 72°; d = 98°
Answer:
[tex]C. a = 118^o; b = 49^o; c = 144^o; d = 98^o[/tex]
Step-by-step explanation:
[tex]a=2(59)\\\\a=118^o[/tex]
---------------
[tex]b=180-(59+72)\\\\b=180-131=\\\\b=49^o[/tex]
---------------
[tex]C=2(72)\\\\C=144^o[/tex]
----------------
[tex]d=2b\\\\d=2(49)\\\\d=98^o[/tex]
--------------------
hope it helps...
have a great day!!
NEED ASAP
The arithmetic mean of the monthly salaries of two people is $4444. One person earns $3191 per month. What is the monthly salary of the other person?
Zahra reads 45 words per minute. at this rate. how many minutes will it take for her to read 180 words
Answer:
4 minutes
Step-by-step explanation:
I will use ratios for this equation:
[tex]\frac{1}{45} =\frac{x}{180} \\\\45x=180\\x=4[/tex]
It will take Zahra 4 minutes to read 180 words because she reads 45 words PER minute.
Find the value of y when x=3.
y=10-3x
y=
Answer:
the value of y is y= 1
Step-by-step explanation:
3×3=9
y=10-9
y= 1
please help me out with this equation!
i will mark you as brainliest
Answer: Choice B
vertex = (3, -4)y intercept = (0, 5)x intercepts = (1, 0) and (5, 0)axis of symmetry: x = 3========================================================
Explanation:
The vertex is the lowest point for parabolas that open upward like this. The lowest point is (3, -4). If the parabola is flipped upside down, then the vertex would be the highest point.
--------
The y intercept is where the graph crosses the y axis. For any function, it will have at most one y intercept (some don't have any at all but the most you can have is 1 y intercept). The graph crosses the vertical y axis at (0,5). We can say in short "the y intercept is 5". The y intercept always occurs when x = 0.
--------
On the flip side, the x intercept always occurs when y = 0. This is where the graph crosses or touches the x axis. We have two such locations of (1,0) and (5,0). In short, we could say "the x intercepts are 1 and 5". The term "root" is another word we could use in place for "x intercept". Unlike the y intercept, we can have as many x intercepts as we want.
--------
The axis of symmetry is the vertical line through the parabola. It is the x coordinate of the vertex. So it's not a coincidence that the vertex is at (3,-4) and the axis of symmetry is x = 3, with those '3's repeated twice.
A game company gave each customer one game to test and asked whether he or she would recommend the game. What is the probability that a customer who would recommend his or her game tested Game A?
Answer:
1/2 = 0.5
Step-by-step explanation:
Given that the game company gave each customer a single game for testing
There is definitely just two outcomes, i.e. the customer will either recommend the game or Not recommend the game.
since we do not have additional information regarding what might influence the decision of the customer, hence the probability of either recommending the tested game or not recommending the game will be equal
∴P ( recommending tested game ) = 1 - 0.5 = 0.5
A random sample of 18 adults, chosen from the 1500 adults in the town, took a survey asking their opinion on a recent property tax change. 25% of those who responded said they were in favor of the change. The company running the survey wants to construct a confidence interval estimating the proportion of all adults in the town who support the change. Which of the conditions for inference have been satisfied?
Answer: Random condition
10% condition
Step-by-step explanation:
The conditions for inference that have been satisfied will be:
• Random condition: This has been satisfied since a random sample of 18 adults were taken from 1500 adults.
• 10% condition: Since 25% of those who responded said they were in favor of the change, then the 10% condition is satisfied.
PLS HELP!!!
Using the Pythagorean theorem if necessary please round your answer to the nearest 10th
1. a=7 and b=10 find C the missing side length
2. b=12 and c=13 find A the missing side length
3. A=4 and b=10 find C the missing side length
If the square root of n = 3/2, what is the negative square root of n ?
Answer:
use math.way
Step-by-step explanation:
has the answers
what two numbers multiple to -48 & add to -8
Answer:
-12 and 4
Step-by-step explanation:
-12 x 4 = 48
and
-12 + 4 = -8
Answer:
-12 and +4
Step-by-step explanation:
-12 * 4 = - 48
-12 + 4 = - 8