Algebra II Semester I Review

 $f\left(x\right)=5x^2+2$  

• Stretch of 5

  Up 2

• Shrink of 5

  Up 2

• Stretch of 5

  Down 2

• Shrink of 5

  Down 2

Does this parabola have a minimum or maximum and what is its value?

• minimum: 2
• maximum: 2
• minimum: 5
• maximum: 5

Find the vertex of 
 $f\left(x\right)=-x^2-4x+12$  

•  $\left(-2,\ 16\right)$  

•  $\left(2,\ 0\right)$  

•  $\left(2,\ 4\right)$  

•  $\left(-2,\ 4\right)$  

Does the following quadratic equation have a maximum or minimum value? How can you tell?
 $f\left(x\right)=x^2+2x-3$  

• Minimum value, because the a value is positive

• Maximum value, because the b value is positive

• Maximum value, because the a value is positive

• Minimum value, because the c value is negative

Has at most 3 roots

• $f\left(x\right)=x^3$

• $f\left(x\right)=\sqrt{x}$

• $f\left(x\right)=x$

• $f\left(x\right)=x^2$

Which standard form function matches the factored form: 
 $f\left(x\right)=\left(x+1\right)\left(x-1\right)\left(x+4\right)$  

•  $f\left(x\right)=x^3-x^2-4x$  

•  $f\left(x\right)=x^3+4x^2-x-4$  

•  $f\left(x\right)=x^3-4x^2+x+4$  

•  $f\left(x\right)=x^3+x^2-x-4$  

 $i^{13}$  

•  $-1$  

•  $1$  

•  $i$  

•  $-i$  

What is  $i^{129}$  ?

•  $-i$  

•  $i$  

•  $1$  

•  $-1$  

What is the vertex of the quadratic function:  $f\left(x\right)=\frac{1}{2}\left(x-3\right)^2+8$  

•  $\left(3,\ 8\right)$  

•  $\left(-3,\ -8\right)$  

•  $\left(-3,\ 8\right)$  

•  $\left(3,\ -8\right)$  

Factor:
 $k^2+7k+10$  

•  $\left(k+2\right)\left(k+5\right)$  

•  $\left(k-2\right)\left(k-5\right)$  

•  $\left(k+10\right)\left(k+4\right)$  

•  $\left(k+2\right)\left(k-5\right)$