Factored Form to Quadratic Form

Which of the following is the Factored Form of a quadratic function?

• f(x) = mx + b

• f(x) = ax² + bx + c

• f(x) = a(x - m)(x - n)

• f(x) = a(x - h)² + k

What are the x-intercepts of the parabola?

y = -3(x + 5)(x - 9)

• (-5, 0) and (9, 0)

• (5,0) and (-9, 0)

• (5, 0) and (9, 0)

• (-3, 0) and (5, 0)and (-9, 0)

In f(x) = a(x - p)(x - q), what does "a" tell us?

• The slope

• If the Parabola opens up or down

• x coordinate of the x - intercept

• y coordinate of the y - intercept

What are the x-intercepts of the parabola?

y = ¼(x + 2)(x - 6)

• (-2, 0) and (6, 0)

• (2, 0) and (-6, 0)

• (-2, 6)

• (¼, 0) and (-2, 0) and (6, 0)

What is a quadratic function in factored (intercept) form with x-intercepts of 5 and -2

• f(x) = x² + 3x -10

• f(x) = (x + 5)(x - 2)

• f(x) = (x - 5)(x + 2)

• f(x) = (x + 1.5)² - 12.25

Solve using Zero-Product Property.

(2x - 2)(5x + 5) = 0

• x = -1

• x = -1 or x = 1

• x = 1

• x = -2 or x = 5

Find the vertex of

f(x) = -(x+6)(x-2)

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

• x²+9

• x²-10x+9

• x²-10x-9

• x²+10x+9

In factored form you can see the ______ of the graph easily.

• y-intercept

• vertex

• x-intercepts

Which quadratic equation models the parabola shown?

• y = (x-2)(x-5)

• y = (x+2)(x+5)

• y = -(x+2)(x+5)

• y = -(x-2)(x-5)