Three Quadratic Forms

Convert the following function into intercept form:
 $f\left(x\right)=x^2+4x-12$  

•  $f\left(x\right)=\left(x+2\right)\left(x-6\right)$  

•  $f\left(x\right)=\left(x+2\right)^2-16$  

•  $f\left(x\right)=\left(x-2\right)\left(x+6\right)$  

•  $f\left(x\right)=\left(x-2\right)^2-16$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert the following function into vertex form: $f\left(x\right)=2\left(x-3\right)\left(x+1\right)$  

•  $f\left(x\right)=2x^2-4x-6$  

•  $f\left(x\right)=2\left(x-1\right)^2-8$  

•  $f\left(x\right)=\left(x-1\right)^2-8$  

•  $f\left(x\right)=2\left(x+1\right)^2-8$  

Convert the following function into standard form: $f\left(x\right)=-\left(x+2\right)^2–5$  

•  $f\left(x\right)=-x^2-4x-1$  

•  $f\left(x\right)=-\left(x-2\right)\left(x-9\right)$  

•  $f\left(x\right)=x^2+4x-1$  

•  $f\left(x\right)=-x^2-4x-9$  

Tags

CCSS.HSA.SSE.B.3

Convert the following graph into intercept form:

• $f\left(x\right)=2x^2+4x-6$

• $f\left(x\right)=\left(x-1\right)\left(x+3\right)$

• $f\left(x\right)=\left(x-8\right)\left(x-1\right)$

• $f\left(x\right)=2\left(x-1\right)\left(x+3\right)$

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert the following function into standard form: $f\left(x\right)=\ 3\left(x-2\right)^2+1$  

•  $f\left(x\right)=\ 3x^2-12x+13$  

•  $f\left(x\right)=3\left(x+2\right)\left(x+1\right)$  

•  $f\left(x\right)=3\left(x+2\right)\left(x-1\right)$  

•  $f\left(x\right)=3x^2-12x-11$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert the following function into intercept form: $f\left(x\right)=\ -2\left(x-1\right)^2+8$  

•  $f\left(x\right)=2\left(x-3\right)\left(x+1\right)$  

•  $f\left(x\right)=-2x^2+4x+6$  

•  $f\left(x\right)=-2\left(x-3\right)\left(x+1\right)$  

•  $f\left(x\right)=-2\left(x+1\right)\left(x+6\right)$  

Tags

CCSS.HSA.SSE.B.3

Convert the following function into standard form: $f\left(x\right)=3\left(x-5\right)\left(x-1\right)$  

•  $f\left(x\right)=-3\left(x+3\right)^2+12$  

•  $f\left(x\right)=3\left(x-3\right)^2-12$  

•  $f\left(x\right)=3x^2-18x+15$  

•  $f\left(x\right)=x^2-6x+5$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert the following graph into standard form:

• $f\left(x\right)=\left(x+1\right)^2-4$

• $f\left(x\right)=x^2+2x-3$

• $f\left(x\right)=\left(x+3\right)\left(x-1\right)$

• $f\left(x\right)=x^2+x-4$

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert the following function into vertex form: $f\left(x\right)=4\left(x-1\right)\left(x+5\right)$  

•  $f\left(x\right)=\left(x+2\right)^2-36$  

•  $f\left(x\right)=\ 4x^2+16x-20$  

•  $f\left(x\right)=4\left(x-2\right)^2-36$  

•  $f\left(x\right)=4\left(x+2\right)^2-36$  

Convert the following graph into vertex form:

• $f\left(x\right)=-2\left(x+1\right)^2+3$

• $f\left(x\right)=-2\left(x+1\right)^2-3$

• $f\left(x\right)=2\left(x+1\right)^2-3$

• $f\left(x\right)=-2\left(x-1\right)^2-3$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3