Quadratic Equations

What is the standard form of a quadratic equation?

• ax^2 + bx = c

• ax^2 + bx + c = 0

• ax + bx + c = 0

• ax^2 + c = bx

What is the discriminant of a quadratic equation used for?

• Determining the nature of the roots of a quadratic equation.

• Calculating the vertex of a quadratic equation

• Solving for the y-intercept of a quadratic equation

• Determining the slope of a quadratic equation

What is the formula to find the roots of a quadratic equation?

• x = (-b ± √(b^2 - 4ac)) * 2a

• x = (-b ± √(b^2 - 4ac)) / 2a

• x = (-b ± √(b^2 + 4ac)) / 2a

• x = (b ± √(b^2 - 4ac)) / 2a

What is the vertex form of a quadratic equation?

• y = a(x+h)^2 - k

• y = a(x-h)^2 + k

• y = a(x-h)^2 - k

• y = a(x+h)^2 + k

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

Label these parts of the Quadratic Formula

a

b

Discriminant

Plus or Minus

What are the solutions to the quadratic equation?

• x = -4

• x = 1

• x = -1

• x = 2

• x = 4

Select the solutions to the equation

4x² + 11x + 7 = 0

• x = - 1.75

• x = 6

• x = - 1

• x = 1