PCH Chapter 2 Review

Write the standard form of the quadratic function with vertex (-2, -3) that passes through the point (-4, 2).

• $y=\frac{-5}{4}\left(x+4\right)^2+2$

• $y=\frac{5}{4}\left(x+2\right)^2-3$

• $y=\frac{5}{2}\left(x+2\right)^2-3$

• $y=-\frac{5}{2}\left(x+4\right)^2+2$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.A.1

Identify the vertical and horizontal asymptotes of:  $f\left(x\right)=\frac{\left(x+6\right)^2}{-3x^2-9x+54}$  

•  $x=3$  and  $y=-\frac{1}{3}$  

•  $x=-\frac{1}{3}$  and  $y=3$  

•  $x=-6,\ x=3$  and  $y=-\frac{1}{3}$  

•  $x=3$  and no HA

Tags

CCSS.HSF-IF.C.7D

Identify any hole(s) in the graph of:  $f\left(x\right)=\frac{\left(x+6\right)^2}{-3x^2-9x+54}$  

•  $\left(6,\ -\frac{4}{3}\right)$  

•  $\left(3,\ -3\right)$  

•  $\left(-6,\ 0\right)$  

• No hole in the graph

Tags

CCSS.HSF-IF.C.7D

Which of the following graphs will have a slant asymptote?

• $g\left(x\right)=\frac{-3}{2x-1}$

• $h\left(x\right)=\frac{2x^3-3x+7}{1-x}$

• $y=\frac{2x^2-x+6}{9-2x-x^2}$

• $y=\frac{x^2+2x-12}{x-5}$

Tags

CCSS.HSF-IF.C.7D

Find the slant asymptote of the following function:  $f\left(x\right)=\frac{x^2+11x+2x^3+5}{x^2+5}$  

•  $y=x+7$  

•  $y=2x+1$  

•  $y=2x-3$  

•  $y=x+11$  

Tags

CCSS.HSF-IF.C.7D

Using the equation   $f(x)=2x^2-12x+16$  Does the graph open wide, narrow or neither compared to the parent function?

• wide

• narrow

• neither

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the vertex of:   $f(x)=2x^2-12x+16$ 

• (2, -12)

• (-2, 3

• (3, -2)

• (-12, 8)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Identify the zeros of  $f\left(x\right)=3x^3+6x^2$  

•  $x=0,\ x=3\$  and  $x=-2$  

•  $x=0$ (mult. 2) and  $x=-2$  

•  $x=3$ (mult. 2) and  $x=-2$  

•  $x=0$   and  $x=\pm\sqrt{2}$  

Tags

CCSS.HSF-IF.C.7C

Identify the end behavior of  $f\left(x\right)=3x^3+6x^2$  

• LHB  $\rightarrow\ \infty$   and RHB  $\rightarrow\ -\infty$  

• LHB  $\rightarrow\ \infty$  and RHB  $\rightarrow\ \infty$ 

• LHB  $\rightarrow\ -\infty$   and RHB  $\rightarrow\ \infty$ 

• LHB  $\rightarrow\ -\infty$  and RHB  $\rightarrow\ -\infty$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Given that  $x=-2$  is a zero of  $f\left(x\right)=x^4+7x^3+12x^2-4x-16$  with multiplicity 2, find the remaining zeros.

•  $x=-4$  and  $x=1$  

•  $x=-1$  and  $x=4$  

•  $x=3$  and  $x=-4$  

• There are no remaining zeros

Tags

CCSS.HSF-IF.C.7C