Review parent Functions and Transformations

What type of Function is this?

• Linear

• Absolute Value

• Quadratic

• Exponential

• None of the above

What is f(-1)?

• 6
• -2
• sqrt(2)
• DNE

Tags

CCSS.HSF.IF.A.2

Identify the transformations to the step function: 

• x-axis reflection; stretch of 2; right 2; down 2
• x-axis reflection; stretch of 2; left 2; down 2
• x-axis reflection; shrink of 2; left 2; up 2
• shrink of -2; right 2; down 2

Which equation transforms f(x) = x to a horizontal stretch by a factor of 2, a reflection over the x axis, and a shift down 4?

• f(-2x - 4)

• f(-1/2x) - 4

• -f(2x) - 4

• -f(1/2x) - 4

Which graph is NOT a function?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

What is the equation of the PARENT  function?

• f(x) = 2^x
• f(x) = x³
• f(x) = |x|
• f(x) = x

What type of function is shown?

• cube root
• square root
• logarithm
• exponential

Tags

CCSS.HSF-IF.C.7B

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.

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

• f(x) has been reflected over the x-axis.
• f(x) has been reflected over the y-axis.

Which transformation will occur if f(x) = x² is replaced with 1/2⋅f(x)?

• Vertical Compression by a factor of 1/2
• Vertical Stretch by a factor of 1/2
• Vertical translation up by 2 units.
• Reflection across the x-axis.