Equations and Vertical Transformations

Parent equation: $y\ =\ \left|x\right|$ 
New equation,  $y\ =\ \left|x\ -\ 6\right|\ +\ 4$ 
Which way will the graph move?

• Left 6, Down 4

• Right 6, Down 4

• Right 6, Up 4

• Left 6, Up 4

Compared to the parent graph, y = x² ,how would the graph of y = (x + 9)² - 4 move?

• Right 9, Down 4

• Left 9, Up 4

• Left 9, Down 4

• Right 9, Up 4

How did the function y=x+7 shift from y=x?

• up 7

• down 7

• left 7

• right 7

Tags

CCSS.HSF.BF.B.3

What type of graph is this?

• linear

• quadratic

• square root

• exponential

• absolute value

What type of graph is this?

• linear

• quadratic

• absolute value

• exponential

• square root

Which equation describes shifting y=x² two units right?

• x² + 2

• x² - 2

• (x + 2)²

• (x - 2)²

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

• Left 2 and up 5

• Right 2 and down 5

• Left 2 and down 5

• Right 2 and up 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What transformations occur in the following function?
 $f\left(x\right)\ =\ 5^{x-3^{ }}+\ 2$  

• right 3, up 2

• left 3, up 2

• left 3, down 2

• right 3, down 2

What equation would yield a transformation right 3 units if your initial function was y=2^x

• y=2^x-3
• y=2^x+3
• y=2^x+3
• y=2^x-3

Tags

CCSS.HSF.BF.B.3

If the blue is f(x)=x^2, the red must be

• g(x)=(x + 3)²

• g(x)=(x - 3)²

• g(x)=x² + 3

• g(x)=x² - 3