Factored Form Quadratics

Factored Form Quadratics Part 1

Algebra 2 CP

The factored form of a quadratic tells us the x-intercepts

Ex:

 $f\left(x\right)=\left(x-5\right)\left(x+2\right)$   has x-intercepts at (5,0) and (-2, 0)

x-intercepts are where the line crosses the x-axis

Ex:
 $f\left(x\right)=\left(x-5\right)\left(x+2\right)$  
  has x-intercepts at (5,0) and (-2, 0)

What are the x-intercepts of

 $f\left(x\right)=\left(x+3\right)\left(x+8\right)$  ?

Multiple Choice

What are the x-intercepts of

$$f\left(x\right)=\left(x-6\right)\left(x+4\right)$$  

• (3,0) and (-2,0)

• (-3,0) and (2,0)

• (6,0) and (-4,0)

• (-6,0) and (4,0)

Multiple Select

What are the x-intercepts of

$$f\left(x\right)=\left(x-3\right)\left(x+8\right)$$  

• (3,0)

• (-3,0)

• (8,0)

• (-8,0)

What could be the equation of this parabola?

.

Multiple Choice

What could be the equation of this parabola?

• $$f\left(x\right)=\left(x-4\right)\left(x-1\right)$$

• $$f\left(x\right)=\left(x+4\right)\left(x+1\right)$$

• $$f\left(x\right)=\left(x+3\right)\left(x-6\right)$$

• $$f\left(x\right)=\left(x-3\right)\left(x+6\right)$$

Multiple Choice

What could be the equation of this parabola?

• $$f\left(x\right)=\left(x-6\right)\left(x\right)$$

• $$f\left(x\right)=\left(x-6\right)$$

• $$f\left(x\right)=\left(x+6\right)$$

• $$f\left(x\right)=\left(x+6\right)\left(x\right)$$