Functions (quadratic)

• A reflection over the x-axis and horizontal stretch

• A reflection over the y-axis and a horizontal stretch

• A reflection over the x-axis and a vertical stretch

• A reflection over the y-axis and a vertical stretch

What does h represent? Choose all that apply.

• left/right shift

• up/down shift

• horizontal shift

• vertical shift

Imagine a roller coaster's path is described by the equation y = 2x^2 - 3. If the entire roller coaster is moved 5 units higher, what is the new equation describing its path?

• y = 2x^2 - 8

• y = 2x^2 + 5

• y = 2x^2 - 3x

• y = 2x^2 + 2

Describe the transformation: (x - 2)² + 4

• right 2, up 4

• left 2, up 4

• right 2, down 4

• left 2, down 4

Which transformations were applied to form the red graph from the blue graph?

• shrink

• stretch

• reflection, stretch

• reflection, shrink

If the blue graph is f(x) then the red must be

• f(x + 3)

• f(x - 3)

• f(x) + 3

• gf(x) - 2

Name the transformation and the effect on f(x):

g(x) = 1/2f(x)

How can we tell if we should go up or down from our first dot on our graph?

• The a value tells us (positive means we go up, negative means we go down)

• The b value tells us (positive means we go up, negative means we go down)

• The c value tells us (positive means we go up, negative means we go down.

• Guess, and hope for the best.

Tags

CCSS.MATH.CONTENT.HSF.IF.C.7.a

Parent function:
 $f\left(x\right)=x^2$  
Describe how the following graph is related to the parent graph: $f\left(x\right)=4\left(x-2\right)^2$  
*more than one answer*

• Graph gets narrow

• Graph gets wider

• Graph shifts to the left

• Graph shifts to the right

• A vertical shift up

• A vertical shift down

• A horizontal shift left

• A horizontal shift right