2.1 Quiz

The population of HomeTown is 2016 was estimated to be 35,000 people with an annual rate of increase of 2.4%. What is the growth factor for HomeTown?

• 0.976

• 1.24

• 1.024

• 0.76

The population of HomeTown is 2016 was estimated to be 35,000 people with an annual rate of decrease of 2.4%. Which equation models exponential decay?

• $f\left(x\right)=35000\left(1.024\right)^x$

• $f\left(x\right)=35000\left(0.976\right)^x$

• $f\left(x\right)=1.024\left(35000\right)^x$

• $f\left(x\right)=0.976\left(35000\right)^x$

What are the x-intercepts of $f\left(x\right)=\left(x-4\right)\left(x+2\right)$   ?

• (0,-4) and (0,2)
  

• (0,4) and (0,-2)

• (-4,0) and (2,0)

• (4,0) and (-2,0)

What is the y-intercept of $f\left(x\right)=3x^2+2x+1$   ?

• (0,1)

• (0,-1)

• (1,0)

• (-1,0)

Which of the following represents $f\left(x\right)=x^2+16x+71$    in vertex/graphing form?

•  $f\left(x\right)=\left(x+8\right)^2+7$  

•  $f\left(x\right)=\left(x+7\right)^2+8$  

•  $f\left(x\right)=\left(x+4\right)^2+71$  

•  $f\left(x\right)=\left(x+4\right)^2+7$  

Which of the following represents $f\left(x\right)=\left(x+5\right)\left(x+4\right)$   in vertex/graphing form?

•  $f\left(x\right)=\left(x+5\right)^2-4$  

•  $f\left(x\right)=\left(x-\frac{9}{2}\right)^2-\frac{1}{4}$  

•  $f\left(x\right)=\left(x+4\right)^2+5$  

•  $f\left(x\right)=\left(x+\frac{9}{2}\right)^2-\frac{1}{4}$  

What is the vertex of $f\left(x\right)=-\frac{1}{4}\left(x-1\right)^2+4$   

•  $\left(-\frac{1}{4},4\right)$  

•  $\left(\frac{1}{4},4\right)$  

•  $\left(1,4\right)$  

•  $\left(-1,4\right)$