Quadratic Function Translation

Let the graph of g be a translation 2 units down and 4 units left of the graph of f(x) = x². Write a rule for g.

• g(x) = (x - 4)² - 2

• g(x) = (x + 4)² - 2

• g(x) = (x - 4)² + 2

• g(x) = (x + 4)² + 2

Let the graph of g be a translation 7 units right and a reflection of the graph of f(x) = x². Write a rule for g.

• g(x) = -(x - 7)²

• g(x) = (x - 7)²

• g(x) = -(x + 7)²

• g(x) = (x + 7)²

Identify the function graphed here.

Tags

CCSS.HSF-IF.C.7A

Identify the function graphed here.

Tags

CCSS.HSF-IF.C.7A

Which of the following is a quadratic function that has a vertex at (2, -7) and opens up?

Match the equation to its description.

• Stretched by 2 and up 4

• Compressed by 2 and up 4

• Stretched by 2 and left 4

• Compressed by 2 and left 4

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

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

Name the parent function.

• linear

• quadratic

• absolute value

• exponential

Describe the transformation from the parent function to h(x).

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