Converting Quadratic Equations

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

• f(x) = x² +10x +21

• f(x) = x² -10x -21

• f(x) = x² +4x -21

• f(x) = x² +4x +21

How do we move from the vertex form to standard form?

• multiply out all terms using an area model

• completing the square

• factoring

y=2x²-6x+1 is in what form?

• Vertex Form

• Factored form

• Standard Form 

• Cannot be determined

How do we move from the factored form to standard form?

• multiply out all terms using an area model

• completing the square

• factoring

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)