Convert Vertex Form to Standard Form and Quadratic Formula

Convert the vertex form equation y = 2(x-3)^2 + 5 to standard form.

• y = 2x^2 - 12x + 5

• y = 2x^2 - 12x + 23

• y = 2x^2 - 12x + 10

• y = 2x^2 - 6x + 5

Solve the quadratic equation x^2 + 6x + 8 = 0 using the quadratic formula.

• x = 2, 4

• x = -2, -4

• x = -3, -5

• x = 0, 8

Tags

CCSS.HSA-REI.B.4B

Convert the vertex form equation y = -4(x+2)^2 - 3 to standard form.

• y = -4x^2 - 16x - 21

• y = -4x^2 - 14x - 19

• y = -4x^2 - 18x - 19

• y = -4x^2 - 16x - 19

Solve the quadratic equation 2x^2 - 5x + 2 = 0 using the quadratic formula.

• x = 1 or x = 3

• x = 2 or x = 0.5

• x = -1 or x = -2

• x = 0 or x = 4

Tags

CCSS.HSA-REI.B.4B

Convert the vertex form equation y = 3(x-1)^2 - 4 to standard form.

• y = 3x^2 - 4

• y = 3x^2 - 6x - 4

• y = 3x^2 - 6x + 4

• y = 3x^2 - 6x + 3

Solve the quadratic equation x^2 - 4x - 5 = 0 using the quadratic formula.

• x = 5 or x = -1

• x = 2 or x = -3

• x = 3 or x = -2

• x = 6 or x = -7

Tags

CCSS.HSA-REI.B.4B

Convert the vertex form equation y = -2(x+4)^2 + 7 to standard form.

• y = -2x^2 - 16x - 33

• y = 2x^2 - 16x - 33

• y = -2x^2 + 16x - 33

• y = -2x^2 - 16x + 33

Solve the quadratic equation 4x^2 + 4x - 3 = 0 using the quadratic formula.

• x = 0 and x = -3

• x = 2 and x = -1

• The solutions are x = 0.5 and x = -1.5.

• x = 1.5 and x = -0.5

Tags

CCSS.HSA-REI.B.4B

Convert the vertex form equation y = 5(x-5)^2 + 2 to standard form.

• y = 5x^2 - 50x + 2

• y = 5x^2 - 25x + 127

• y = 5x^2 - 50x + 127

• y = 5x^2 - 50x + 25

Solve the quadratic equation 3x^2 - 2x - 1 = 0 using the quadratic formula.

• x = 0, -1

• x = 2, -1/3

• x = -1, 1/3

• x = 1, -1/3

Tags

CCSS.HSA-REI.B.4B