Mathematics College

The graph of f(x) = x2 was transformed tu
create the graph of d(x) = f(x) + 9. Which of
the following attributes will be the same for the
graphs f(x) and d(x)?
1. the domain
11. the range
III. the axis of symmetry

Answers

Answer 1

Answer:

i: the domain.

iii: the axis of symmetry.

Step-by-step explanation:

We have the function:

f(x) = x^2

The domain of this function is the set of all real numbers, and the range is:

R: [0, ∞)

(because 0 is the minimum of x^2)

Now we have the transformation:

d(x) = f(x) + 9 = x^2 + 9

Notice that this is only a vertical translation of 9 units, then there is no horizontal movement, then the axis of symmetry does not change.

Also, in d(x) there is no value of x that makes a problem, so the domain is the set of all real numbers, then the domain does not change.

And d(x) = x^2 + 9 has the minimum at x = 0, then the minimum is:

d(0) = 0^2 + 9 = 9

Then the range is:

R: [9,  ∞)

Then the range changes.

So we can conclude that the attributes that will be the same for f(x) and d(x) are:

i: the domain.

iii: the axis of symmetry.

Related Questions

Which expression is equivalent to (3-4)+5

Answers

Answer:

4

Step-by-step explanation:

(3-4)+5

-1+5

4

Answer this correctly I'll give brainalist + 10 points

Answers

Answer:

55

Step-by-step explanation:

The line is 180 and 180-125=55

Take different values for x and find the value of 3x+5.​

Answers

Answer:

when x=1

3x+5.=3×1+5=8

when x=0

3x+5.=3×0+5=5

Step-by-step explanation:

when x=-1

3x+5.=3×-1+5=-3+5=2

Step-by-step explanation:

solution

here,

let the value of x be 1, then

3x+5

=3*1+5

=8

let the value of x be 2, then

3x+5

=3*2+5

=6+5

= 11

n + 9 = 14 solve isolate the variable

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

n + 9 = 14

=> n + 9 - 9 = 14 - 9. [For isolating the variable we subtract 9 from both sides]

=> n = 5 (Ans) [ Variable isolated]

Fran can type 297 words in 5.5 minutes. What is her typing speed in words per minute?

Answers

Answer:

54 word per minute

Step-by-step explanation:

297 words divided by 5.5 mins = 54 words/min

Hope this helps!! :)

In figure 5, what are the values of x and y?
(4x - 12)
(7y+12)°
(12x+8)°​

Answers

Answer:

sorry

Step-by-step explanation:

Where is the figure?

PLEASE HELP THIS ASSIGNMENT IS OVER DUE

Answers

29+8x is the answer

Answer:

15 +5x +24 +8x

39 + 13x is answer

Is the association between x and y positive or negative?
A. none B.positive C, negative

Answers

Answer:

A.non at all so, please choose the right answer

Answer:

A.non at all so, please choose the right answer

Find the derivative of f(x)=4x+7 at x = 5.

Answers

Answer:

27

Step-by-step explanation:

f(x) is the same as y

if x=5 then you will multiply 5 by 4 which will give you 20

20 + 7 = 27

4 it will always be 4

how do i solve for x

Answers

Answer:

55

Step-by-step explanation:

The scale factor of the scale drawing of a mirror to the actual mirror is represented by the ratio 1 : 8 . If the dimensions of the scale drawing are 3 inches wide by 8.5 inches long, what is the actual area of the mirror?​

Answers

Answer:

1,632

Step-by-step explanation:

Solve 7(x+1) + 2(3x-1) = 15

Answers

Answer:

what is x worth?

Step-by-step explanation:

The answer is 10/13

You can see the step by step explaination in the image

1

8 million tonnes of fish were caught in the North sea in 2005, if the catch is reduced by 20% each year for four years, what amount can be caught at the end of this time​

Answers

Answer:

At the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.

Step-by-step explanation:

Given that 8 million tonnes of fish were caught in the North sea in 2005, if the catch is reduced by 20% each year for four years, to determine what amount can be caught at the end of this time the following calculation must be performed :

100 - 20 = 80

Year 0 = 8 million

Year 1 = 8 x 0.8 = 6.4 million

Year 2 = 6.4 x 0.8 = 5.12 million

Year 3 = 5.12 x 0.8 = 4,096 million

Year 4 = 4.096 x 0.8 = 3.2768 million

Thus, at the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.

[tex]12.5=n-1.5[/tex]

Answers

Answer:

n=14

Step-by-step explanation:

12.5=n-1.5

-n=-1.5-12.5

-n=-14

n=14

If f ( x ) = 1 3 x − 5 , what is f ( − 6 ) ?

Answers

Answer:

-4

Step-by-step explanation:

by finding the exact value.

The sum of 25 and h is divided by f cubed.​

Answers

the answer is (25+_h) / f3

Solve for n.
5 (n+11) = 5 • 9 + 5 • 11

Answers

N=9
5(n+11)= 45+55
Since We times first before adding
5(n+11)=100
5n+55=100
Subtract 55 from each side
5n=45
Then divide
N=9

A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. What is the probability that both pieces of fruit are apples.​

Answers

Answer:

Answer as a fraction: 4/15

Answer as a decimal: 0.267

The decimal version is approximate rounded to three decimal places.

Step-by-step explanation:

6 apples, 4 peaches

6+4 = 10 pieces of fruit total

The probability of picking an apple is 6/10 = 3/5

After you pick and eat the apple, there are 10-1 = 9 pieces of fruit left. Also, the probability of picking a peach is 4/9, as there are 4 peaches out of 9 fruit left over.

Multiply out 3/5 and 4/9 to get (3/5)*(4/9) = (3*4)/(5*9) = 12/45 = 4/15

Using a calculator, 4/15 = 0.267 approximately.

What is 7.456283 rounded to the nearest hundred thousandths place?​

Answers

The answer will be 7.45628

Which improper fraction is equivalent to 15 3/7

Answers

Answer:

108/7

Step-by-step explanation:

15*7 is 105+3 is 108/7

the difference of 17 and 5 times a number

Answers

Answer:

I need more context

Step-by-step explanation:

State if each triangle is acute, obtuse,or right using Pythagorean theorem converse.

Answers

Answer:

Right triangle

Step-by-step explanation:

Properties for acute, obtuse or right triangle,

1). Given triangle will be a right triangle if,

   Hypotenuse² = (Leg 1)² + (Leg 2)²

2). Triangle will be an acute triangle if,

   (Largest side)² < (leg 1)² + (leg 2)²

3). Triangle will be an obtuse triangle if,

   (Largest side)² > (leg 1)² + (leg 2)²

Now we apply these properties in the given triangle,

(Largest side)² = (√11105)²

                        = 11105

(leg 1)² = (76)²

           = 5776

(leg 2)² = (73)²        

            = 5329

Since 11105 = 5776 + 5329 (First Property)  

11105 = 11105

Therefore, given triangle is a right triangle.

Gary spent 55 hours in two weeks working on the same to project she worked 32 hours the first week right and solve an addition equation to find amount of time she's been working on the second week

Answers

Answer:

If Zaira spent 32 hours in the first week. We subtract 32 from 55. 55-32=23. That means she worked 23 hours in the second week.

I had an 8-ounce milkshake. Two ounces in the milkshake were chocolate and the rest is vanilla. What are two equivalent fractions that represent the fraction of the milkshake that was chocolate?​

Answers

The answer is 2/8 or 1/4

Sam drove for 2 hours at 45 mph. He has the same distance remaining. How fast should he drive to make his average speed 60 mph?

Answers

Answer:

Step-by-step explanation:

2 hours at the speed of 45 mph = 90 miles in 2 hours

He should drive 60 miles per hour to make his speed 60 mph.

Help please I give brainliest

Answers

Answer:

I think its no association because the snow cone doesn't really tell you anything you can have a snow cone at any time of day

Step-by-step explanation:

Answer:

No association

Step-by-step explanation:

The average tempature decreases while the sales of snow-cones increase

What is the formula for area of Parallelogram

Answers

Answer:

See below

Step-by-step explanation:

Area of parallelogram = base * height

Answer:

A= b×h

Step-by-step explanation:

b= base

h= height

hope it helped

The diagram shows the repairs preformed on two types of cars. Compare the car types using the median or mean.

Answers

Answer:

there is no diagram

Step-by-step explanation:

you will need to edit this question so that way we can see the diagram

Answer:

The median is the same for both car types, but Bandits have the lower mean.

Step-by-step explanation:

I took the Iready quiz and got the question right. Hope this helps!

The area of a poster board is (x2 + 9x - 10) square inches. Find the dimensions of the poster board If
x = 15.

Answers

Answer:

155 square inches

Step-by-step explanation:

(15)2+9(15)-10 or 30+135-10

Waitrose-
Budging-
Please answer ASAP

Answers

Answer: Budging because if you 3.25 + 2 = 5.25 and that

more than the Budging so therefore it's Budging.

and on Budging you get a discount.

Step-by-step explanation:

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