Function Transformations

 

Describe the transformation that occurred

p(x) = f(x + 3)

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

 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

Q. 

Name the parent function.

• Linear

• quadratic

• cubic

• logarithmic

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

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

What is the Domain of this exponential function?

• y=1

• x=0

• All Real Numbers

• x>0

What is the Range of this function?

• y > 0

• x> 0

• All Real Numbers

• y > 1

Given f(x) = ax² , if 0 < a < 1 , the graph will transform by

• becoming wider or vertically compressed

• becoming narrower or vertically stretched

In the vertex form f(x) = a(x - h)² + k , what does the 'h' value do?

• Shifts the function left or right

• Reflection over the x-axis

• Vertical stretch or compression

• Shifts the function up or down

In the vertex form f(x) = a(x - h)² + k , what does the 'k' value do?

• Shifts the function left or right

• Reflects over the x-axis

• Vertical stretch or compression

• Shifts the function up or down