Transformations of functions

What is the name of the parent function?

• Square Root

• Cube Root

• Exponential

• Rational

Which transformation transforms the graph of

f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right

How did we transform from y=x² to

y = -3x²

• reflection in x-axis and vertical shift down

• reflection x-axis and vertical stretch

• reflection y-axis and horizontal stretch

• reflection x-axis and vertical compression

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

What equation matches the graph?

• f(x) = -(x + 1)² + 3

• f(x) = -(x - 1)² + 3

• f(x) = -(x + 1)² - 3

• f(x) = -(x + 1)² - 3

The blue is f(x)=|x|, red must be:

• g(x)=|x+2|
• g(x)=|x|+2
• g(x)=|x-2|
• g(x)=|x|-2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

What equation matches the graph?

• y = Ix + 3I - 1

• y = Ix - 3I - 1

• y = Ix + 1I + 3

• y = Ix - 1I + 3

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

What equation matches the graph?

• A.

• B.

• C.

• D.

What equation matches the graph?

• y = Ix + 2I - 1

• y = -Ix + 2I - 1

• y = -Ix - 2I - 1

• y = -Ix + 1I - 2

What are the transformations of this functions compared to the parent function y = √(x)?

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4