Practice Quadratic Transformations

How did we transform from y=x^2? y = -3x²

• vertical reflection and vertical shift down

• vertical reflection and vertical stretch

• horizontal stretch

• vertical reflection and vertical compression

Write an equation that has a vertical reflection, a vertical stretch of 6, is shifted up 7, and right 7

If the blue graph is f(x) = x² then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

Match the equation to its description.

• 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

Compare the graph of g(x) = 5x² to the graph of f(x) = x². Choose all that apply.

• Vertical stretch

• Vertical shrink/compression

• Vertical translation (shift) up

• Reflection

• Vertical translation (shift) down

Compare the graph of g(x) = x² + 3 to the graph of f(x) = x². Choose all that apply.

• Vertical stretch

• Vertical shrink/compression

• Vertical translation (shift) up

• Reflection

• Vertical translation (shift) down

What is the range of this function?

• -4 ≤ y ≤ 5

• -1 ≤ x ≤ 3

• All Real Numbers

• y ≥ -4

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²

• g(x) = (x - 3)²

• g(x) = x² + 3

• g(x) = x² - 2

When the vertex is at the lowest point of the parabola, it is called the

• maximum

• negative point

• positive point

• minimum