Hard Quadratic Equations

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

Find the roots of this equation
x² + x - 6 = 0

• 4, -1

• 3, -2

• -6, 1

• 2, -3

What is the vertex of the quadratic function:
y = x² - 6x + 11?

• (3,2)

• (-3,-2)

• (-3,2)

• (3,-2)

Select the solutions to the equation

4x² + 11x + 7 = 0

• x = - 1.75

• x = 6

• x = - 1

• x = 1

The quadratic function y = -2x² + 4x + 6 is pictured. What are the solutions to the equation 7.5 = -2x² + 4x + 6?

• x = 0.5

• x = 1.5

• x = 1

• x = 8

• x = 6

What are the solutions to the quadratic equation?

• x = -4

• x = 1

• x = -1

• x = 2

• x = 4

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

• up

• down

The formula
b² - 4ac
is called the

• quadratic formula

• factored form

• vertex formula

• the discriminant

The discriminant finds the

• number of solutions

• x-intercepts

• y-value of vertex

• y-intercept

If the discriminant is greater than zero, the equation has

• solution

• solutions

• no solutions