Quadratic Functions

.Quadratic Functions

Multiple Choice

What do we call the graph of a quadratic function?

• parabola
• linear
• cubic
• sinusoidal

Multiple Choice

What are the

roots (x-intercepts) of the function

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

• x = - 2 or x = 3

• x = 2 or x = -3

• The are no real roots

• x = 2 or x = 3

Multiple Choice

What is the vertex of this function?

• (0, -3)

• (1, -4)

• (-2, 5)

• {-1, 3}

Multiple Choice

If given the equation

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

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Multiple Choice

What is the vertex of

f(x) = 2(x - 5)² + 12

• (-5, -12)

• (5,-12)

• (5, 12)

• (-5, 12)

Multiple Choice

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

• y = -2

• x = 3

• x = -3

• y = 2

Multiple Choice

What is the axis of symmetry for the following equation?

y=4x²-8x+9

• x=-8

• x=1

• x=-1

• x=2

Multiple Choice

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

y=x²+2x-3

• Minimum value, because the a value is positive

• Maximum value, because the b value is positive

• Maximum value, because the a value is positive

• Minimum value, because the c value is negative

Multiple Choice

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?

• A. 24 ft.

• B. 30 ft.

• C. 44 ft

• D. 32 ft.