Translate Functions

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-2

Describe the transformations.
f(x) = √(x+2) - 4

• Translate Right 2, Down 4

• Translate Left 2, Down 4

• Translate Left 2, Up 4

• Translate Right 2, Up 4

Tags

CCSS.HSF.BF.B.3

g(x)=f(x)-4
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated down 4.

• f(x) has been translated up 4.

g(x)=f(x-3)
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the right 3.

• f(x) has been translated to the left 3.

• horizontal shift to the right 4 and vertical shift down 2
• horizontal shift to the left 4 and vertical shift up 2
• horizontal shift to the right 4 and vertical shift up 2
• horizontal shift to the left 4 and vertical shift down 2

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4

• y = (x + 4)²

• y = (x - 4)²

• y = 4x²

What change does a Translation Cause?

• a shift up, down, left, or right

• a reflection

• a compression

• a stretch

Describe the transformations:
f\left(x\right)\ =\ \sqrt{x+2}-4

• Translate Right 2, Down 4

• Translate Left 2, Down 4

• Translate Left 2, Up 4

• Translate Right 2, Up 4

Tags

CCSS.HSF.BF.B.3

How is this function transformed from the parent function?

• Translated left and up

• Translated right and up

• Translated left and down

• Translated right and down

Tags

CCSS.HSF.BF.B.3