Convert 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 Factored Form:

x² - 10x + 24

• (x - 6)(x - 4)

• (x + 6)(x + 4)

• (x - 12)(x + 2)

• (x - 8)(x - 3)

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) = x² +10x +21

• f(x) = x² -10x -21

• f(x) = x² +4x -21

• f(x) = x² +4x +21

Convert to Factored Form

x² + 5x - 24

• (x - 8)(x + 3)

• (x + 8)(x - 3)

• (x + 6)(x - 4)

• (x + 12)(x - 2)

Convert to Factored Form:

3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)

Convert to Factored Form (hint...take out the greatest common factor first) 2c² + 2c - 84

• (c-6)(2c+14)

• (c+7)(2c-12)

• (c-4)(2c+21)

• 2(c+7)(c-6)

Convert to Factored Form:

(hint: use slide n' divide)

4x²-16x-9

• (2x-9)(2x+1)

• (2x+9)(2x-1)

• (4x-1)(x+9)

• (x+1)(4x-9)

How do you convert y = 2x² - 5x + 10 to vertex form?

• Factor

• (p+q)/2

• Complete the square

• Quadratic Formula

How do you convert y = 2x² - 5x + 10 to Intercept form?

• Factor

• Complete the Square

• (p+q)/2

• -b/2a