Transformations of Functions

Choose the correct translated function.

• f(x)=|x|-2

• f(x)=|x|+5

• f(x)=|x-5|-2

• f(x)=|x+5|-2

Choose the correct translated function.

• f(x)= |x|+2

• f(x)= |x|-2

• f(x)= -|x|

• f(x)= -|x|+2

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units

• Translation right 2 units

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Name the parent function.

• linear

• quadratic

• absolute value

• cubic

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

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5

Tell how the function transformed from y =x²
y = -2x²

• Translated left 2 units

• Reflected over x-axis

• Stretched vertically and reflected over x-axis

• Compressed vertically and reflected over the x-axis

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