Quadratic Equations

Select all the equations that would graph the parabola.

• y = (x + 1)² - 1

• y = (x - 1)² - 1

• y = x² + 2x

• y = x(x - 2)

• y = x(x + 2)

Select all the equations that would graph the parabola.

• y = -x² - 4x + 4

• y = -(x + 4)² +2

• y = -(x +2)² + 4

• y = -x² +4x

• y = -(x - 2)² + 4

Select all the equations that would graph the parabola.

• y = (x + 5)² - 4

• y = x² + 10x + 21

• y = x² - 10x + 21

• y = (x - 5)² - 4

• y = (x + 7)(x + 3)

Select all the equations that would graph the parabola.

• y = x² + 4x - 12

• y = -1/2(x + 2)² + 8

• y = -1/2x² - 2x + 6

• y = -(x + 2)² + 8

• y = -1/2(x + 6)(x - 2)

Select the zeros for the following quadratic:

y = 2x² - x - 15

• x = 3

• x = 5

• x = -5/2

• x = -3/2

• x = -3

Rewrite the following equation in vertex form.

• y = 3(x - 4)² - 3

• y = 3(x - 3)² + 5

• y = 3(x - 4)² + 1

• y = 3(x - 3)² - 2

• y = 3(x - 4)² - 7

Find the zeros for the following quadratic:

y = 4x² - 5x - 6

• x = -4/3

• x = -3

• x = 2

• x = 4/3

• x = -3/4

Select all equations that would graph the following quadratic.

• y = 3(x - 1)² - 3

• y = 3(x - 3)² + 1

• y = 3x(x - 2)

• y = 3x² - 6x

• y = 3x² + 3x + 6

Select all quadratic equations that have zeros at (3, 0) and (-5, 0).

• y = (x - 3)(x + 5)

• y = x² + 2x - 15

• y = 3x² + 6x - 45

• y = 2(x + 1)² - 32

• y = 4(x + 1)² + 15

Find the vertex for the following quadratic. y = 2(x + 2)(x + 4) Hint: Rewrite the equation in standard form

• (-3, 2)

• (3, 4)

• (-3, -2)

• (2, -3)

• (-2, -3)