Review for Quadratics Test

Given a quadratic function with a vertex of (4, -2) that passes through (6, 10), calculate the 'a' value.

• 3

• 5

• 2

• $\frac{3}{25}$

Which functions are equivalent to  $f\left(x\right)=-2\left(x+1\right)^2+18$  . Select all that apply.

•  $f\left(x\right)=\left(-2x-2\right)^2+18$  

•  $f\left(x\right)=-2x^2-4x+16$  

•  $f\left(x\right)=-2x^2+16$  

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

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

What is the vertex?
 $f\left(x\right)=2x^2+8x+3$  

• (0, 3)

• (1, 4)

• (-3, -4)

• (-2, -5)

How many solutions does the equation $5x^2+2x+1=0$  have?

• Two real solutions

• One real solution

• No solution

• Two imaginary solutions

What is the correct factorization of
 $x^2+5x+6$  ?

•  $\left(x+1\right)\left(x+6\right)$  

•  $\left(x+2\right)\left(x+3\right)$  

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

•  $\left(x-2\right)\left(x-3\right)$  

Simplify : $\left(2+i\right)\left(3+2i\right)$  

Solve by factoring $6x^2+11x=-3$  

• x=-9 and -2

• x=-1/3 and -3/2

• x=0 and -11/6

• Cannot be factored

Which number would need to be added to this equation in order to complete the square? $f\left(x\right)=x^2-10x+13$  

• -10

• -5

• 25

• 10

What should be multiplied to $\frac{3-6i}{-2-5i}$ in order to simplify? 

•  $\frac{2+5i}{2+5i}$  

•  $\frac{2-5i}{2-5i}$  

•  $\frac{-2+5i}{-2+5i}$  

•  $\frac{-3+6i}{-3+6i}$  

What is the vertex of
 $f\left(x\right)=-\frac{1}{4}\left(x+2\right)\left(x-10\right)$ 

 

• (-2, 10)

• (2, 16)

• (-4, -7)

• (4, 9)