Graphing Factored Form Quadratics

Factored Form Given the graph, write the equation of the quadratic in factored form (start with y=)

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7A

What are the x intercepts? y=-\frac{1}{2\ } \left(x+3\right)\left(x-5\right)

• 3 and -5

• -3 and 5

• 1

Tags

CCSS.HSF-IF.C.7C

What are the x-intercepts of 
f(x)=(x - 10)(x + 10)

• (0, -100)

• (10 , 0) and (-10 , 0)

• (0, -10) and (0, 10)

• 0

Tags

CCSS.HSF-IF.C.7C

What is the vertex? f(x) = (x - 10)(x +6)

• (-2, -64)

• (-2, -48)

• (2, -64)

• (2, -48)

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

The graph of y = (x - 1)(x - 3) is in FACTORED FORM and is graphed on the right.

Label the x-intercepts, y-intercept and vertex

d

c

b

a

(3, 0)

(1, 0)

(0, 3)

(2, -1)

Tags

CCSS.HSF-IF.C.7A

Which graph below matches up with the equation?

y = ⅕(x+6)(x+1)

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A

• F

• G

• H

• J

Tags

CCSS.HSF-IF.C.7A

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7A

Graph the following

y= (x-2)(x-4)

Tags

CCSS.HSA.CED.A.2