Quadratic Formula

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

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.

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3
*remember right side should =0

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Answer explanation

Don't forget, quadratic equations are of the form  $Ax^2\ +\ Bx\ +\ C\ =\ 0$  , so all of the values must be on the same side of the equation before you can determine A, B, and C.

Use the graph to determine the solutions.

• -1 and -3
• 1 and -3
• 1 and 3
• -1 and 3

This graph represents a quadratic equation that will have:

• 2 imaginary roots

• 2 real roots

• 1 real root and 1 imaginary root

Answer explanation

Since the graph doesn't cross the x-axis, no value of x will make the equation equal zero. Thus, the equation has two imaginary roots.

What is the name of the imaginary line that cuts a parabola in half and goes through the vertex?

• the middle
• axis of symmetry
• minimum
• standard form

Identify the 'b' value: y = 16x² -8x -24

• 16
• -8
• 8
• -24

Identify the 'a' value: y = 16x² -8x -24

• 16
• 8
• -8
• -24

Does the equation open or or down? 
Y = -3x² +7x - 2

• up
• down