3/17 SL_LSAE 3/6

Problem 1

If f(x) = x² and g(x) = f(x + 8.5) , what is the vertex of graph g?

• The vertex of the graph g (x) is at the point (-8.5, 0) .

• The vertex of the graph g( x) is at the point (8.5, 0).

• The vertex of the graph g(x) is at the point (0, 8.5).

• The vertex of the graph g(x) is at the point (0, -8.5).

Problem 2

Which answer choice describes how the graph of f(x) = x² was transformed to create the graph of k(x) = x² - 4?

• A. A vertical shift up

• B. A vertical shift down

• C. A horizontal shift to the left

• D. A horizontal shift to the right

Problem 3

Part A

Which of the following statements describe the

transformation of f to form g?

Select THREE correct responses. Make sure answers are ALPHA ORDERED!

​ ​ (a)   ​ ​ (b)   ​ (c)  

• A. Vertical stretch
• B. Vertical compression
• C. Shift 4 units to the right
• D. Shift 4 units to the left
• F. Shifted 2 units up
• E. Shift 2 units down

Problem 3

Part B

Which of the following statements describe the

transformation of f to form g?

• 
• 
• 
• 

Problem 4

Quadratic functions p and q are graphed on the grid. The graph of p was transformed to create the graph of q. Which function best describes the graph of q?

• q(x) = -(x - 5)²

• q(x) = - (x + 5)²

• q(x) = -x² - 5

• q(x) = -x² + 5

Problem 5

The function f(x) = x² was transformed to create the function g(x) = f(x + 9) − 12. What are the coordinates of the vertex of the graph of g?

• (−12, 9)

• (−9, 12)

• (−9, −12)

• (12, 9)

Problem 6

How does the graph of h(x) = - (x - 3)² + 4 compare to the graph of the basic function g(x) = x²?

• It opens downward, and it is translated 3 units to the left and 4 units up.

• It opens downward, and it is translated 3 units to the right and 4 units up.

• It opens upward, and it is translated 3 units to the left and 4 units up.

• It opens upward and it is translated 3 units to the right and 4 units up.

• y = 2(x - 3)²

• y = 2(x + 3)²

Problem 8

Fill in the blanks to complete the equation of

function g. You may not use all the values.

g(x) = (a)   (x ​ (b)   )² ​ (c)  

• - 1
• +2

• 3
• - 3
• + 1
• - 2

Problem 9

The functions of f and g are shown below. They are a result of horizontally stretching the parent function y = x². What could be the equations of f and g?

• f(x) = (2x)²,

  g(x) = (1/4 x)²

• f(x) = (1/4 x)²,

  g(x) = (2x)²

• f(x) = -2x²,

  g(x) = -1/4 x²

• f(x) = -x²,

  g(x) = -6x²