Transformations

For g(x) = 2(x + 3)², describe the transformation from the parent function.

• Vertical stretch by factor of 2, translate left 3 units

• Vertical stretch by factor of 2, translate right 3 units

• Translate up 2 units and left 3 units

• Translate up 2 units and right 3 units

For g(x) = -x² +13, describe the transformation from the parent function.

• Reflection in x-axis, translate up 13 units

• Reflection in x-axis, translate down 13 units

• Translate up 13 units

• Translate down 13 units

f(x) = 2x

• Vertical stretch by 2

• Vertical compression by 1/2

• Translate up 2 units

• Reflection over the x-axis

f(x) = |x - 4|

• Translate up 4 units

• Translate down 4 units

• Translate left 4 units

• Translate right 4 units

Which equation describes the transformation of translating f(x)=x² two units right?

• x² + 2

• x² - 2

• (x + 2)²

• (x - 2)²

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

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = (x - 5)²

Which equation describes the transformation of translating f(x)=x³ 4 units down?

• x³ + 4

• x³ - 4

• (x - 4)³

• (x + 4)³

Describe the transformation of the equation below from the parent function of y = I x I. $f\left(x\right)\ =\ -2\left|x-3\right|+3$  

• reflected over x axis, stretched by 2, right 3, up 3

• reflected over x axis, stretched by 2, left 3 up 3.

• reflected over x axis, shrunk by 2, right 3, up 3

• reflected over x axis, shrunk by 2, left 3, up 3

What transformation does the 3 cause in the equation below: $f\left(x\right)\ =\ 2\sqrt{-x+1}+3$  

• Translate up 3 units

• Translate down 3 units

• Translate left 3 units

• Translate right 3 units

What transformation does the 1 cause in the equation below: $f\left(x\right)\ =\ 2\sqrt{-x+1}+3$  

• Translate up 1 units

• Translate down 1 units

• Translate left 1 units

• Translate right 1 units