Alg 2 Fall Final Review

-7 + 10z > -27

• z < -2
• z > -34
• 2 > z
• z > -2

|p+4|≤ 8

• -42 ≤ p ≤ 16
• -5 ≤ p <6
• 12 > p > 9
• -12 ≤ p ≤ 4 

What is the equation of this graph?

• y=2|x-3|+1

• y=2|x-1|+3

• y=-2|x+1|+3

• y=-2|x-1|+3

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²

Describe the transformations from the original parent function f(x) = x².

g(x) = 5x² + 2

• Vertical Stretch of 5

  Vertical Down 2

• Vertical Compression of 5

  Vertical Up 2

• Vertical Stretch of 5

  Vertical Up 2

• Vertical Compression of 5

  Vertical Down 2

What are the transformations of this functions compared to the parent function y = √(x)?

• Horizontal right 5, vertical down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch of 2, and horizontal right 5

• Reflected over the x-axis, vertical stretch of -2, and horizontal left 5

• Horizontal right 5, Vertical down 2

What is the equation of the graph?

• y = √(x - 3)
• y = √(x) + 3
• y = √(x - 5) + 4
• y = √(x + 5) + 4

Let

 $f\left(x\right)=2x-1\ and\ g\left(x\right)=x^2+x-2.\ Find\ \left(f+g\right)\left(x\right).$  

•  $x^{2\ }+3x+3$  

•  $x^{2\ }+3x-3$  

•  $4x^{2\ }-3$  

•  $3x-3$  

Let

 $f\left(x\right)=2x-1\ and\ g\left(x\right)=x^2+x-2.\ Find\ \left(f-g\right)\left(x\right).$  

•  $x^{2\ }-x+1$  

•  $x^{2\ }+x+1$  

•  $x^{2\ }-x-1$  

•  $-x^{2\ }+x+1$