Parent Function Transformations Graphs

If the blue graph is the parent function, what is the equation of the red (transformed) function?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which description could describe this transformation?

• Vertical compression by 1/2

• Horizontal compression by 1/2

• Horizontal stretch by 2

• Vertical stretch by 1/2

Which equation shows a function that is translated left 4 and 7 up?

• y = |x + 4| + 7

• y = (x - 4)² + 7

• y = (x + 7)² - 4

• y = |x + 4| - 7

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x)=3x²

• g(x)=1/3x²

• g(x) = x² - 3

• g(x) = (x-3)²

How is the blue graph different from the red parent graph? Mark all that are true.

• shifted 1 unit up from the red parent graph

• shifted 2 units right from the red parent graph

• flipped over the x-axis from the red parent graph

• flipped over the y-axis from the red parent graph

• shifted 1 unit down from the red parent graph

The graph of parent function f(x) = x has been transformed to h(x) = f(x - 2) + 3.  Which graph represents this transformation?

• A

• B

• C

• D

How is the blue graph different from the red parent graph?

• shifted 1 unit up from the red parent graph

• shifted 2 units right from the red parent graph

• flipped over the x-axis from the red parent graph

• flipped over the y-axis from the red parent graph

• shifted 1 unit down from the red parent graph

What type of Parent Function is graphed?

• Square Root

• Cubic

• Quadratic

• Square Root

The parent is in purple and transformed is in black. Which equation would result in the black?

• f(x) = |2x|

• f(x)=|x|+2

• f(x)=|x|+1/2

• f(x)=|1/2x|

• Reflection over y-axis; Right 3; Up 1
• Right 3; Up 1
• Reflection over x-axis; Left 3; Up 1
• Reflection of x-axis; Right 3; Up 1

Tags

CCSS.HSF.BF.B.3