Factoring
Intercepts
Vertex
Modeling Parabolas
100

Factor the following Generic Rectangle

(x + 5) (x + 7)

100

y - intercepts happen when...

x = 0

Meaning, plug in 0 for x then solve for y

100

What is the vertex of the parabola with the equation 

y = 4(x - 7)2 + 3 

(7 , 3) 

(h,k) or "Opposite of inside, take outside"

100

Draw a picture that models the following situation and label important points:

A ball bounces off the ground, reaches a max height of 4 feet, and lands 12 feet away. 

200

Factor the following generic rectangle 

(2x + 5) (x + 2)

200

Find the x - intercepts from this step:

x2-12x+27

(x-3)(x-9)=0

x=3 and x=9

200

The x - intercepts of a parabola are 7 and 13. 

What is the x-value of the vertex?

(7+13)/2 = 20/2 = 10

200

What is the vertex form equation?

y = a(x - h)2 + k 

300

Factor the following equation:

y = 2x2 - 3x - 20 

(2x + 5)(x - 4)

300

Find the x - intercepts from this step:

(2x - 4) (x + 9)

x = 2

x = -9 

300

Find the vertex for:

y = x2 + 12x + 35

(-6,-1)


300

After sketching the graph of a situation, you find that the vertex is (14, 20) and a critical point on the graph is (28, 0). 

Set up the vertex form equation to solve for "a"

M
e
n
u