Unit 3: Constructing Functions

Question 1

identity function

Answer 1

Question 2

absolute value function

Answer 2

Question 3

quadratic function

Answer 3

Question 4

cubic function

Answer 4

Question 5

reciprocal function

Answer 5

Question 6

square root function/radical function

Answer 6

Question 7

Name the function.

Answer 7

absolute value function

Question 8

Name the function.

Answer 8

cubic function

Question 9

Name the function.

Answer 9

identity function

Question 10

Name the function.

Answer 10

quadratic function

Question 11

Name the function.

Answer 11

reciprocal function

Question 12

Name the function.

Answer 12

square root function

Question 13

Given some function in the image, what does the transformation “a” do to the function if a>1?

Answer 13

If a>1, then it will be a vertical dilation that will stretch the cubic.

Question 14

Given some function in the image, what does the transformation “b” do to the function if b>0?

Answer 14

If b>0, then the cubic will have a horizontal shift to the left “b” units.

Question 15

Given some function in the image, what does the transformation “c” do to the function if c<0?

Answer 15

If c<0, then the cubic will have a vertical shift down by “c” units.

Question 16

Horizontal transformations happen…

Answer 16

inside the parent function.

Question 17

Vertical transformations happen…

Answer 17

outside the parent function.

Question 18

What type of transformation does the 4 do to the function?

Answer 18

horizontal dilation by a factor of 1/4

Question 19

What type of transformation does the 1/4 do to the function?

Answer 19

horizontal dilation by a factor of 4

Question 20

What does the negative do to the function?

Answer 20

Reflect over the y-axis

Question 21

What does the negative do to the function?

Answer 21

Reflect over the x-axis