Quadratic Equations

The standard form of a quadratic equation is:

• y = ax² + bx + c

• x = -b/2a

• y = a(x - h)² + k

• d = b² - 4ac

Used to determine the number of solutions of a quadratic equation (choose all that apply):

• Discriminant

• axis of symmetry

• d = b² - 4ac

• x = - b/2a

Tags

CCSS.HSA-REI.B.4B

Find the axis of symmetry and vertex for y = -x² - 2x - 8

• x = -1; vertex (-1, 7)

• x = -1; vertex (-1, -5)

• x = 1; vertex (1, -11)

• x = 1; vertex (1, -5)

Using the discriminant, find the number of solutions to y = x² - 10x + 25

• 2

• 1

• 0

Tags

CCSS.HSA-REI.B.4B

An equation that can be written in the form y = ax² + bx + c

• Quadratic equation

• MInimum

• Linear equation

• Maximum

Tags

CCSS.8.EE.C.7B

Select the solutions to the equation

4x² + 11x + 7 = 0

• x = - 1.75

• x = 6

• x = - 1

• x = 1

What are the solutions to the quadratic equation?

• x = -4

• x = 1

• x = -1

• x = 2

• x = 4

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

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

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