Convert Forms of Quadratic Equations

• y = -5x² - 20x - 30

• y = -5x² - 4x - 10

• y = 25x² + 100x + 90

• y = 25x² - 10x - 30

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

Which of the following forms are best to use if we want to identify the vertex of a quadratic equation?

• Standard Form

• Vertex Form

• Intercept Form

Which of the following equations is in vertex form?

• f(x) = x² + 6x - 2

• f(x) = (x - 1)² + 2

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

• multiply out all terms using an area model

• completing the square

• factoring

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 Standard Form: y = (x-3)²+5

• y = x²-3x+5

• y = x²-6x+14

• y = x²-6x+9

• y = x²+6x+14

Match the following equations with their correct form.

• Quadratic Formula

• f(x) = a(factor)(factor)

• Standard form of a quadratic equation

• f(x) = ax² + bx + c

• Factor Form

• Vertex Form

• f(x) = a(x - h)² + k

Convert to standard form: g(x)=(x - 9)(x - 7)

• g(x)=x² - 2x - 63

• g(x)=x² - 16x - 63

• g(x)=x² - 2x + 63

• g(x)=x² - 16x + 63

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

• Standard Form

• Vertex Form

• Factored Form

• None of These