Transformations Vertical and Horizontal Translation Review

Which of the following describes the transformations done to the quadratic parent function of y = x²  to obtain y = 2x² + 4 ?

• Vertical Stretched by 2 and translation up 4

•  Vertical Compressed by 2 and translation up 4

• Horizontal Stretched by 2 and translation left 4

• Horizontal Compressed by 2 and translation right 4

What transformations occurred to the quadratic parent function f(x) = x² when transformed into g(x)=1/2(x+9)²-1?

• Reflect, horizontal compress by 1/2, left 9, down 1

• Vertical compress by 1/2, left 9, down 1

• Horizontal Compress by 1/2, right 9, down 1

• Vertical Stretch by 1/2, left 9, down 1

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²

• f(x) = 5(x + 2)²

• f(x) = (x - 2)² - 5

• f(x) = (x + 2)² + 5

In the equation f(x)=9(x-5)²-64 , what happens to the parabola?

• Compress by 1/9, left 5, down 64

• Stretch by 9, left 5, down 64

• Stretch by 9, right 5, up 64

• Stretch by 9, right 5, down 64

The transformation of f(x) = x is given by g(x) = f(x - 3). Describe the transformation.

• translation up 3 units

• translation down 3 units

• translation left 3 units

• translation right 3 units

The transformation of f(x) = x is given by g(x) = f(x) - 3. Describe the transformation.

• translation up 3 units

• translation down 3 units

• translation left 3 units

• translation right 3 units

The transformation of f(x) = x is given by g(x) = f(x) - 5. Describe the transformation.

• translation up 5 units

• translation down 5 units

• translation left 5 units

• translation right 5 units

• Reflection in x axis

• Reflection in y axis
  

• Vertical shrink of  $\frac{1}{4}$  

• Horizontal shrink of 4

• translation up 3 units
  

• Reflection in x axis

• Reflection in y axis

• Translation right 4 units

• Translation left 4 units

• Translation down 4 units

• Reflection over x axis

• Reflection over y axis

• Vertical stretch of 2

• translation down 10 units