Horizontal Function Transformations

• horizontal shift to the right 4 and vertical shift down 2
• horizontal shift to the left 4 and vertical shift up 2
• horizontal shift to the right 4 and vertical shift up 2
• horizontal shift to the left 4 and vertical shift down 2

g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the left one and down five.

• f(x) has been translated to the right one and down five.

• f(x) has been translated to the left one and up five.

• f(x) has been translated to the right one and up five.

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

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right

Given the parent function p(x)=cos(x), which phrase best describes the transformation used to obtain the graph of g(x)=cos(x+a) - b, if a and b are positive constants?

• Right a units, up b units

• Right a units, down b units

• Left a units, up b units

• Left a units, down b units

Tags

CCSS.HSF-IF.C.7E

Describe the transformation that occurred.

w(x) = f(x - 7)

• Down 7

• Up 7

• Right 7

• vertical compression

Tags

CCSS.HSF.BF.B.3

translation up 1

• f(x) + 1

• f(x - 1)

• f(x) - 1

• f(x + 1)

reflection over y-axis, shift right 1

• f(-x - 1)

• -f(x + 1)

• -f(x) - 1

• -f(x - 1)

horizontal compression

• g(x) = 3f(x)

• g(x) = ½f(x)

• g(x) = f(¼x)

• g(x) = f(5x)

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

• Left 3 up 5

• Right 3 down 5

• Left 3 down 5

• Right 3 up 5

Describe the transformations of f(x) when compared to the parent function. f(x)=(x+7)²

• horizontal shift left 7 units

• horizontal shift right 7 units

• vertical shift up 7 units

• vertical shift down 7 units