Quadratic features and factoring

Identify the characteristics of the graph including...

y-intercept:

Identify the characteristics of the graph including...

range:

Identify the characteristics of the graph including...

a. List Axis of symmetry

b. Parabola has Max or Min

c. X-intercepts

d. Y-intercepts

e. Domain

f. Range

Quadratic equations take the shape of a _______ when graphed.

• parabola

• straight line

• curved line

• elliptical

The function pictured in the graph factors as:

• (x + 3) (x + 3)

• (x - 3) (x + 3)

• (x + 3) (x - 3)

• (x - 3) (x - 3)

Factor:

 $x^2+11x+24$  

•  $\left(x+8\right)\left(x-3\right)$  

•  $\left(x+3\right)\left(x+8\right)$  

•  $\left(x+2\right)\left(x-12\right)$  

•  $\left(x+24\right)\left(x+1\right)$  

•  $\left(x+6\right)\left(x+4\right)$  

What are the zeros of the function?

• 4,1
• 3,1,-2,-5
• -3, -1, 2, 5
• -2,4

Does this graph have a maximum or minimum value?

• maximum
• minimum
• neither
• both

What is the vertex?

• (5, 0)

• (3, 4)

• (1, 0)

• (0, 0)

Factor:

 $x^2+5x-24$  

•  $\left(x+8\right)\left(x-3\right)$  

•  $\left(x+3\right)\left(x+8\right)$  

•  $\left(x+2\right)\left(x-12\right)$  

•  $\left(x+24\right)\left(x+1\right)$  

•  $\left(x+6\right)\left(x+4\right)$