Factor, Standard, Vertex Forms review

How do you find the x-intercepts on a graph?

• look for points close to the origin

• look for points where graph crosses x-axis

• look for points where graph crosses y-axis

• any points where x=0

What is the standard form for

y = (x-4)(x+3)

• $y\ =\ x^2+x-12$

• $y=x^2-x+12$

• $y=x^2-x-12$

• $y=x^2-7x+12$

Find the y-intercept for  $y=x^2-x-12$  

•  $\left(-1,0\right)$  

•  $\left(-12,0\right)$  

•  $\left(0,1\right)$  

•  $\left(0,-12\right)$  

Tags

CCSS.HSF-IF.C.7A

How do you find the x-intercepts given an equation?

• let y = 0 and solve for x

• let x = 0 and solve for x

• let y = 0 and solve for y

• let x = 0 and solve for y

What is the factored form of  $y=x^2-x-12$ ? 

•  $y=\left(x-3\right)\left(x+4\right)$  

•  $y=\left(x-4\right)\left(x+3\right)$  

•  $y=\left(x-12\right)\left(x+1\right)$  

•  $y=\left(x-3\right)\left(x-4\right)$  

Which are factors of  $f\left(x\right)=x^2-8x+12$  ?

•  $\left(x+2\right)$  

•  $\left(x-6\right)$  

•  $\left(x-2\right)$  

•  $\left(x+6\right)$  

Find the y-int for  $f\left(x\right)=-x^2+6x+4$  

•  $\left(0,4\right)$  

•  $\left(0,6\right)$  

•  $\left(4,0\right)$  

•  $\left(-1,4\right)$  

Tags

CCSS.HSF-IF.C.7A

To find the x-intercepts for  $y=\left(x+2\right)\left(x-3\right)$  you would use:

•  $y=\left(0+2\right)\left(0-3\right)$  

•  $x+2=0$  

•  $x+2=x-3$  

•  $x-3=0$  

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Rewrite in vertex form:  $y=x^2-x-12$  

•  $y=\left(x-1\right)^2-13$  

•  $y=\left(x+\frac{1}{2}\right)^2-\frac{1}{4}$  

•  $y=\left(x-\frac{1}{2}\right)^2-\frac{49}{4}$  

•  $y=\left(x-1\right)^2-11$  

If the vertex of a parabola is  $\left(4,2\right)$  , what is the equation for the AOS?

•  $x=4$  

•  $x=2$  

•  $y=4$  

•  $y=2$