Algebra 2 Honors Semester Review

Which of the following statements describe key features of $f\left(x\right)=\frac{1}{4}x^2+4x-2$  ? Select all that apply.

• The axis of symmetry is  $x=-8$  

• The axis of symmetry is  $x=-2$  

• The vertex is  $\left(-8,\ -2\right)$  

• The minimum is  $y=-4$  

• The y-intercept is  $\left(0,\ -2\right)$  

Which of the following systems of equations could a student use to write a quadratic function in standard form for the parabola passing through the points (2,8), (4, -3), and (-5,12)?

• 
• 
• 
• 

A parabola has x-intercepts at -4 and 4 and goes through point (1,-3). What other point is on the parabola?

• (7,-6)

• (10, 17)

• (-3,-3)

• (-9,13)

Tags

CCSS.HSF-IF.C.7A

Simplify:  $\frac{4i\left(2-3i\right)}{2+2i}$  

•  $-i+5$  

•  $5i+5$  

•  $\frac{3i-3}{4}$  

•  $-5i-5$  

Tags

CCSS.HSN.CN.A.3

Which of the following functions represents the parabola opening upwards with a compression factor of 1/5 and x-intercepts (1,0) and (5,0).
I:  $y=\frac{1}{5}\left(x-1\right)\left(x-5\right)$  

II:  $y=\frac{1}{5}x^2-\frac{6}{5}x+1$  
III:  $y=\frac{1}{5}x^2+\frac{2}{5}x+1$  
IV:  $y=5\left(x-5\right)^2+6$  
V:  $y=\frac{1}{5}\left(x-3\right)^2-\frac{4}{5}$  

• I, III, and IV

• I, II, and V

• II, III, and V

• I, III, and V

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A