Transformations of Functions

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

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.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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.

• f(x) has been reflected over y -x

• f(x) has been rotated

Tags

CCSS.HSG.CO.A.4

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.

Tags

CCSS.HSF.BF.B.3

What is the domain?

• (-∞,∞)

• [0,∞)

• (-∞,0]

• -2, 2

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.5

What is the RANGE?

• (-∞,∞)
• [0,∞)
• (-∞,0]
• [-∞,∞]

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

  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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

f(x) = ⅔(x - 7)² 

• Narrower of ⅔ Right 7

• Narrower of ⅔ Left 7

• Wider of ⅔ Right 7

• Wider of ⅔ Left 7

Tags

CCSS.HSF.BF.B.3

Let f(x) = 2x -3 find 5(fx)

• 2x+2

• 10x-3

• 10x-15

• none of the above

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2