Resource Algebra Spring Semester Exam 2023

What do we call the graph of a quadratic function?

• parabola
• linear
• cubic
• sinusoidal

What is the vertex of this function?

• (0, -3)

• (1, -4)

• (-2, 5)

• {-1, 3}

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)

What is the axis of symmetry for the following equation?

y=4x²-8x+9

• x=-8

• x=1

• x=-1

• x=2

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

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.

• Maximum

• Minimum

Does this graph in the back have maximum or minimum value?

• maximum
• minimum
• neither
• both

In the function f(x)=-5(x+3)²-8, the parabola opens:

• upward

• downward

Identify the vertex and whether the graph opens up or down.

• (-1, 4); opens up
• (-1, 4); opens down
• (1, 4); opens up
• (1, 4); opens down