Transformations of Quadratic

Compare the function y = 5x² to the parent function y = x²

• Wider

• Narrower

Match the equation to its description.

• Reflected over x and stretched by 3

• Stretched by 3

• Reflected over x

• Reflected over x and up 3

Match the equation to its description.

• Reflected over x, right 2 and up 1

• Reflected over x, left 2 and up 1

• Reflected over x, right 2 and down 1

• Reflected over x, left 2 and down 1

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

Describe the transformation of y = 3(x - 3)² + 3

• Narrow, Right, Up

• Narrow, Left, Down

• Wide, Right, Up

• Wide, Left, Down

The vertex of the quadratic function f(x) in the picture (2, -2). If g(x) = f(x) - 4, what is the vertex of g(x)?

• (2, -6)

• (2, 2)

• (-2, -2)

• (6, -2)

Pablo throws a ball with a path of
h = -5(t - 2)².
Maria throws a ball with a path of
h = -5(t - 2)² + 10.
Which description is reasonable for the difference in the two equations?

• Maria throws the ball 10 times harder than Pablo does.

• Maria starts her ball at a height 10 feet higher than Pablo does.

• Pablo throws the ball 10 times harder than Maria does.

• Pablo starts his ball at a height 10 feet higher than Maria does.

Identify the vertex of f(x) = -2(x+1)² + 3

• (h,k)

• (3, 1)

• (-1,-3)

• (-1,3)

Which of the following functions of the form
y = ax² produces the narrowest graph   and opens upward?

• y = 1/4x²

• y = -4x²

• y = -1/4x²

• y = 4x²

Write the equation of the quadratic function. (parabola)

• y = x² - 3

• y = x² + 3

• y = ( x - 3 )²

• y = ( x + 3 )²

Tags

CCSS.HSF-IF.C.7A