Graphs of Quadratic Functions

Which of the following equations matches standard form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

If we have the equation y=ax²+bx+c, how can we can find the x-coordinate of the vertex?

• -a
• -b/a
• b/2a
• -b/2a

The quadratic function shown in the graph has how many real roots?

• one repeated root

• two real roots

• no real roots

• cannot be determined

What is the y intercept for the equation:
y = -8x² + 3x - 7

• (0, -8)
• (0, 3)
• (-8, -7)
• (0, -7)

Find the axis of symmetry for
f(x) = x²- 8x + 15.

• x = -4
• x = 4
• y = 4
• y = -4

What piece of information does c identify in the following equation?
y=ax²+bx+c

• Zeroes
• Axis of Symmetry
• Direction
• y-intercept

The graph shows the height of a baseball from the time it is thrown from the top of a building to the time it hits the ground. How much time until the baseball is 80 meters above the ground.

• 1 sec

• 9 sec

• 7 sec

• 6 sec

Select the graph that correctly represents a rocket starting at 0 seconds and landing at 10 seconds.

• 
• 
• 
• 

Find the vertex of 
f(x) = -x² - 4x + 12

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

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

• y = -2
• x = 3
• x = -3
• y = 2