Converting Between Quadratic Forms

Convert to Vertex Form:

f(x) = x² +8x +14

• f(x) = (x - 4)² + 2

• f(x) = (x - 4)² - 2

• f(x) = (x + 4)² + 2

• f(x) = (x + 4)² - 2

Convert to standard form: f(x) = x2+3x-18

• (x-6)(x+3)

• (x+6)(x+3)

• (x+6)(x-3)

• (x-6)(x-3)

Convert to Standard Form:

f(x) = (x+7)(x-3)

• f(x) = x² +10x +21

• f(x) = x² -10x -21

• f(x) = x² +4x -21

• f(x) = x² +4x +21

Tags

CCSS.HSA.APR.A.1

Convert to Factored Form:

x² - 10x + 24

• (x - 6)(x - 4)

• (x + 6)(x + 4)

• (x - 12)(x + 2)

• (x - 8)(x - 3)

• A
• B
• C
• D

Convert to standard form: y = -(x-4)² + 2

• y = x² +8x -14

• y = -x² +8x -14

• y = -x² +8x +14

• y = -x² -8x -14

Convert to standard form: y = 5(x+9)² -17

• y = 5x² + 90x +388

• y = 5x² - 90x +388

• y = 5x² - 90x - 388

• y = -5x² + 90x +388

Convert the equation f(x) = x² - 2x - 5 into vertex form.

• f(x) = (x - 1)² - 6

• f(x) = - (x - 1)² - 6

• f(x) = (x + 1)² - 6

• f(x) = - (x + 6)² - 1

What form is y = 2x²-6x+1 written in?

• Vertex Form

• Factored form

• Standard Form 

• Cannot be determined

Convert to Factored Form:

3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)