Algebra 2 Preview Review

If f(x)=x², what is the equation of the blue, solid curve?

• g(x)=x²-C
• g(x)=(x+C)²
• g(x)=(x-C)²
• g(x)=x²+C

Determine the vertex of the parabola
y=5(x-2)²–7

• (-2, 7)
• (-2, -7)
• (2, -7)
• (-7, -2)

Convert to vertex form:  y = 3x² + 6x - 5

• y=3(x+1)² - 8
• y=3(x-1) ² - 8
• y=3(x+1)² - 6
• y=3(x-1)² - 14

Explain the transformations to the parent function of the following graph:  
f(x) = -√(x) - 2

• Reflect over x-axis
  Down 2
• Reflect over y-axis
  Up 2
• Reflect over x-axis
  Up 2
• Reflect over y-axis
  Down 2

Tags

CCSS.HSF.BF.B.3

Explain the transformations to the parent function of the following graph: 
f(x) = -2|x + 4| - 9

• Reflect over x-axis
  Left 4
  Down 9
• Reflect over y-axis
  Left 4
  Down 9
• Reflect over x and y-axis
  Right 4
  Down 9
• Reflect over x-axis
  Right 4
  Down 9

Which function below has the following transformation:
Left 4 and up 7

• y = |x + 4| + 7
• y = (x - 4)² + 7
• y = (x + 7)² - 4
• y = |x + 4| - 7

If the blue curve is f(x)=x³, what is the equation of the red curve?

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

 If f(x)=x², what is the equation of the red curve?

• g(x)=(x-3)²
• g(x)=x²-3
• g(x)=x²+3
• g(x)=3x²

Find x:
∣ 2x + 9 ∣ = 15

• x = 3 
• x = 3
  x = -6
• x = 3
  x = -12
• x = 6
  x = -12

Solve for n: 
|−2n| + 10 = −50

• {30, -30}
• {20,-20}
• {-5,5}
• No Solution