Factored Form of Quadratic Equations

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

Solve 2x² - 7x + 6 = 0 by factoring

• x = -3/2 and x = -2

• x = -3 and x = -2

• x = 3 and x = 2

• x = 3/2 and x = 2

Tags

CCSS.HSA-REI.B.4B

Solve using Zero-Product Property.

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

• x = -1

• x = -1 or x = 1

• x = 1

• x = -2 or x = 5

Tags

CCSS.HSA-REI.B.4B

Factor 6x²-27x

• (6x+1)(x+3)

• 3x(2x-9)

• 6x(x-9)

• (3x-9)(2x+3)

What is the equation of this parabola in it’s factored form?

• y=(x-2)(x+3)

• y=(x+2)(x-3)

• y=(x+2)(x-3)(x-6)

• y=(x+3)(x-6)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the equation of this parabola in its factored form?

• y=(x+1)(x+3)

• y=(x-1)(x-3)

• y=-(x+1)(x+3)

• y=-(x-1)(x-3)

Tags

CCSS.HSF-IF.C.7A

What is the factored quadratic equation in the following graph?

• y=(x+2)(x+6)

• y=x²-8x+12

• y=(x-2)(x-6)

• y=(x-4)(x+4)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What are the zeros for the function
f(x) = (x + 7)(x + 5)

• (7 , 0) and (5 , 0)

• (0 , 7) and (0 , 5)

• (-7 , 0) and (-5 , 0)

• (7 , 0) and (5 , 0)

Tags

CCSS.HSF-IF.C.7C

What can we find easily in factored form?

• y-intercept

• vertex

• zeros/x-intercepts

What is the equation for this parabola in factored form?

• y=(x+2)(x-1)

• y=(x-2)(x+1)

• y=(x-2)(x-1)

• y=(x+2)(x+1)

Tags

CCSS.HSF-IF.C.7A