PreTest - Algebra 1 Summer Extension

The graph represents the function  $f(x)=-2x^2+12x-10$  .

Which of the following are true statements? Select all that apply.

• The axis of symmetry is  $x=3$  .

• The vertex is  $\left(8,\ 3\right)$  .

• The range is  $\left[-\infty,\ 8\right]$  .

• The increasing interval is  $\left[3,\infty\right]$  .

• The x-intercepts are  $\left(1,\ 0\right)$  and  $\left(5,\ 0\right)$  .

Which of the following are the root(s) of the quadratic function $f(x)=2x^2-7x-4$  ? Select all that apply.

•  $x=-4$  

•  $x=-0.5$  

•  $x=-1$  

•  $x=4$  

What are the approximate solution(s) to the equation $\left(x+12\right)^2=97$  ? Select all that apply.

•  $x=-10.4$  

•  $x=9.2$  

•  $x=-2.2$  

•  $x=-21.9$  

What are the solution(s) to the equation $x^2+4x-21=0$  ? Select all that apply.

•  $x=7$  

•  $x=-3$  

•  $x=3$  

•  $x=-7$  

What are the solution(s) to the equation $2x^2-7x+6=0$  ? Select all that apply.

•  $x=-\frac{3}{2}$  

•  $x=2$  

•  $x=\frac{3}{2}$  

•  $x=-2$  

What are the solution(s) to the equation $x^2+8x-20=0$  ? Select all that apply.

•  $x=-10$  

•  $x=2$  

•  $x=-2$  

•  $x=10$  

What are the approximate solution(s) to the equation $-2x^2+4x+4=0$  ? Select all that apply.

•  $x=0.7$  

•  $x=2.7$  

•  $x=-0.7$  

•  $x=-2.7$  

Which explicit formula is equivalent to $f\left(x\right)=2\left(x-4\right)^2-50$  ?

•  $f\left(x\right)=2x^2-16x-18$  

•  $f\left(x\right)=2x^2-16x-50$  

•  $f\left(x\right)=2x^2-8x-34$  

•  $f\left(x\right)=2x^2-8x-18$  

Which vertex formula is equivalent to $f\left(x\right)=x^2+10x-11$  ?

•  $f\left(x\right)=1\left(x+5\right)^2-36$  

•  $f\left(x\right)=1\left(x-5\right)^2+36$  

•  $f\left(x\right)=1\left(x-10\right)^2-36$  

•  $f\left(x\right)=1\left(x+10\right)^2+36$  

The quadratic function $f\left(t\right)=-4t^2+10t+6$  describe the height (meters) of a baseball from the ground after it is thrown in the air for  $t$  seconds. Between what times is the baseball above 10 meters?

• The baseball is above 10 meters between 0.5 seconds and 2.0 seconds.

• The baseball is above 10 meters between 0.5 seconds and 2.5 seconds.

• The baseball is above 10 meters between 0 seconds and 2.0 seconds.

• The baseball is above 10 meters between 0 seconds and 2.5 seconds.