Converting Quadratic Equation Forms

Convert f(x) = 3(x - 5)² - 1 to standard form.

• f(x) = 3x² -30x + 74

• f(x) = 3x² -10x + 24

• f(x) = 3x² -30x + 24

• f(x) = 3x² -30x + 75

Convert f(x) = 2(x - 2)² +9 to standard form.

• f(x) = 2x² + 8x + 9

• f(x) = 2x² - 8x - 4

• f(x) = 2x² - 8x + 17

• f(x) = 2x² - 8x + 8

Convert f(x) = -4(x - 1)² +7 to standard form.

• f(x) = -4x² + 3

• f(x) = -4x² - 8x + 17

• f(x) = -4x² +8x - 11

• f(x) = -4x² +8x + 3

A quadratic equation has a vertex form of y = -2(x - 1)² - 2. Which of the following is equivalent to this form?

• y = 2x² - 4x + 4

• y = -2x² + 4x - 4

• y = -2x² - 4x + 4

• y = 2x² + 4x - 4

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

If you were looking for the solutions, which form is the most convenient?

• Standard Form

• Vertex Form

• Factored Form

• None of These

What form is y = 2x²-6x+1 written in?

• 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

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

• multiply out all terms using an area model

• completing the square

• factoring

Match the following equations with their correct form.

• Quadratic Formula

• Vertex Form

• f(x) = a(factor)(factor)

• Standard form of a quadratic equation

• f(x) = a(x - h)² + k

• Factor Form

• f(x) = ax² + bx + c