The Discriminant and Quadratic Formula

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

____________
For the function above, is the discriminant positive, negative, or zero?

• Positive
• Negative
• Zero
• Not Sure

____________
For the function above, is the discriminant positive, negative, or zero?

• Positive
• Negative
• Zero
• Not Sure

Determine the values of

a, b, and c for

the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Determine the value of the discriminant and describe the number and type roots for the following:

x² + 7x + 13

• 101, 2 real roots

• 3, 2 real roots

• -101, 2 imaginary roots

• -3, 2 imaginary roots

Use the quadratic formula to solve 2x² + 2x - 12?

• -2, 3
• 2, 3
• 2, -3
• -2, -3

What is this formula?

• This is the speed of light formula.
• This is the quadratic formula.
• This is the zero product property.
• This is scary.

If the discriminant is negative, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• 2 Complex (imaginary) Solutions

The quadratic equation can be used to solve quadratic equations that can or cannot be factored.

• True

• False

The quadratic formula indicates whether the graph intersects the x-axis and where the __________, if present.

• maximum is

• vertex is

• minimum is

• x-intercepts are

• y-intercepts are