Quadratic Functions

What are the

roots (x-intercepts) of the function

f(x)= (x - 2)(x + 3)?

What is the vertex of this function?

If given the equation

y = 3(x + 5)² - 4, what is the vertex of the parabola?

What is the vertex of

f(x) = 2(x - 5)² + 12

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

What is the axis of symmetry for the following equation?

y=4x²-8x+9

Does the following quadratic equation have a maximum or minimum value? How can you tell?

y=x²+2x-3

Elaine shoots an arrow upward at a speed of 32 feet per second from a bridge that is 28 feet high. The height of the arrow is given by the function h(t) = -16t² + 32t + 28, where t is the time in seconds. What is the maximum height that the arrow reaches?