Transformations of Quadratic Functions

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting f(x) 4 units up

• a translation shifting f(x) 4 units down
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

How did we transform from f(x) =x² 
to
g(x) = -3x²

• reflection in x-axis and vertical shift down
• reflection x-axis and vertical stretch
• horizontal stretch
• reflection x-axis and vertical compression

Identify the transformations for y = (2x - 4)²

• Vertical stretch and shift right 4

• Vertical stretch and shift left 4

• Horizontal stretch and shift left 4

• Horizontal compress and shift right 4

Tags

CCSS.HSF.BF.B.3

Identify the transformations for y = -(x + 7)² - 3

Check all that apply.

• reflect across the x-axis

• shift right 7

• shift left 7

• shift down 3

• reflect across the y-axis

For the function, f(x) = (-¹/₂x - 1)² + 7, how does the -¹/₂ transform the graph of the parent function?

• stretch horizontally

• stretch horizontally and reflect across the y-axis

• compress horizontally

• compress horizontally and reflect across the y-axis

For the function, f(x) = (-¹/₂x - 1)² + 7, how does the 1 transform the graph of the parent function?

• shift left 1

• shift right 1

• shift up 1

• shift down 1

Identify the transformations for y = -(2x)².

• reflect across the y-axis and compress horizontally

• reflect across the x-axis and compress horizontally

• reflect across the x-axis and stretch horizontally

• reflect across the y-axis and stretch horizontally

Identify the transformations for y = 4(x + 8)².

• stretch vertically and shift left 8

• stretch vertically and shift right 8

• compress vertically and shift left 8

• compress vertically and shift right 8

Which equation show the following transformations?

shift left 2, shift down 7, compress vertically, and reflect across the x-axis

• y = -¹/₃(x + 2)² - 7

• y = -3(x + 2)² - 7

• y = -¹/₃(x - 2)² - 7

• y = -3(x - 2)² - 7

Which equation shows the following transformations?

compress horizontally, shift right 3, and shift up 9

• y = 5(x - 3)² + 9

• y = (5x - 3)² + 9

• y = (5x + 3)² + 9

• y = 5(x + 3)² + 9