Quadratic Equations

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

• Real Solution

• Real Solutions

• Half a Solution

• No Real Solution

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

• Zeroes

• Axis of Symmetry

• Direction

• y-intercept

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

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

What direction is the following equation opening?
y=-3x²-7x+8

• Up

• Down

• Left

• Right

Joe Mauer hits a fly ball.  You can track the height of the ball using the equation:   h(t) = -16t² + 140t + 2  
What was the starting
                        height of the ball?                                                                                      

• -16 feet

• 140 feet

• 2 feet

• 0 feet

What is the vertex?

y = 2x² + 12x + 5

• (6,149)

• (-3,-13)

• (3, 59)

• (-6,5)

What is the vertex?

y = 4(x - 7)² - 8

• (7,8)

• (7,-8)

• (-7,8)

• (-7,-8)

What is the vertex form of the equation plotted?

• y = (x-2)² + 1

• y = (x-2)² - 1

• y = - (x+2)² - 1

• y = (x+2)² - 1

Given the revenue function R(x) = -500x²+8000x+100. How can you find the max revenue?

• Find the Vertex, then the max revenue will be the x value of the vertex.

• Find the Vertex, then the max revenue will be the y value of the vertex.

• The max revenue is the same as the y-intercept

• Find the zeros and the larger value is the max revenue.

It is given that −3 is a root of 5 (x + k)² − 20 = 0, where k is a constant. Find the possible values of k.

• 1 or 5

• 1 or −7

• −1 or −5

• −1 or 7