3/18 SL_LSAE 3/17

Problem 1

Identify the translation as up, down, left, or right of the quadratic function f(x) = x².

a

b

c

d

up

left

right

down

Problem 2

Mariah translates the parent function f(x) by creating function

k(x) = f(x + 2) + 8.

Choose the correct options below to describe the effect on f(x).

Select answers in Alpha order A then B

(a)   (b)  

• A. 2 units down
• A. 2 units to the left
• A. 2 units to the right
• B. 8 units up
• A. 2 units up
• B. 8 units down
• B. 8 units to the right
• B. 8 units to the left

Problem 3

Identify the transformation as a vertical or horizontal compression or stretch of the quadratic parent function f(x) = x².

a

b

c

d

Horizonal Compression

Vertical Compression

Vertical Stretch

Horizonal Stretch

Problem 5

Part A: Which of the following describes the transformations from the graph of f to the graph of q?

Select THREE correct answers.

• A. A vertical stretch

• B. A vertical compression

• C. A horizontal shift left

• D. A horizontal shift right

• E. A vertical shift down

Problem 5

Part B: Which equation can represent function q?

• 
• 
• 
• 

​

m(x) =​ (a)   (x​ (b)   )²​ (c)  

• + 1
• - 7 
• 2
• - 1
• + 7

Problem 7

Dylan transformed the quadratic parent function f(x) with a horizontal stretch, a shift to the right and a shift down to create the function k(x). Which equation could represent k(x)?

• 
• 
• 
• 

Problem 8

Felicia transformed the quadratic parent function with a compression horizontally and a shift down to create the graph of function g. Which graph could represent g?

• A.

• B.

• C.

• D.

• The parent function is translated 6 units to the right, 5 units up and is vertically compressed by a factor of 1/2.

• The parent function is translated 6 units to the left, 5 units up and is vertically compressed by a factor of 1/2.

• The parent function is translated 6 units to the right, 5 units up and is vertically stretched by a factor 1/2.

• The parent function is translated 6 unit to the left, 5 units up and is vertically stretched by a factor of 1/2.

Problem 10

Peggy graphed the parent function f(x) = x² and then transformed it to create k(x) = -(5x- 9)² . Describe the transformation. Select THREE correct answers.

• A.

  k(x) horizontally compresses f(x)

• B.

  k(x) vertically stretches f(x)

• C.

  k(x) shifts f(x) down 9 units

• D.

  (x) shifts f(x) right 9 units

• E.

  k(x) reflects f(x) over the x-axis