Transformations of Functions and Graphs

Name the parent function. 

• constant

• square root

• linear

• absolute value

What type of function is shown?

• cube root

• square root

• logarithm

• exponential

Tags

CCSS.HSF-IF.C.7B

What is the range to this graph?

• y> 1

• y>= 1

• y< 1

• y<= 1

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

If the blue function is f(x)=x², then the red function must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

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

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.

• f(x) has been reflected over y -x

• f(x) has been rotated

Tags

CCSS.HSF.BF.B.3

The blue function is the parent function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

If the blue function is f(x)=√x, the red function must be

• g(x)=√(-x)

• g(x)=√(x-1)

• g(x)=√x-1

• g(x)=-√x

Tags

CCSS.HSF-IF.C.7B

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.

Let f(x) =x²

^{Find f(x+3)}

• x² +3

• x² +9

• x²+6x+9

• none of the above

Tags

CCSS.HSF.IF.A.2