Final review 1-8, 2.3, 2.4, 2.7

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

Match the equation with the graph:

• y = (x - 2)² + 4

• y = -(x - 4)² + 2

• y = -(x - 2)² + 4

• y = -(x + 2)² + 4

• f(x)=3∣x−2∣−2
• f(x)=1/3∣x+2∣−2
• f(x)=3∣x+2∣−2
• f(x) = 1/3∣x−2∣+2

What is the equation of the graph?

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

Which equation represents this graph.

• f(x)=(x - 4)² - 3
• f(x)=-(x - 4)² + 3
• f(x)=(x - 4)² + 3
• f(x)=-(x + 4)² + 3

What is the RANGE?

• (-∞,∞)
• [0,∞)
• (-∞,0]
• [-∞,∞]

DOMAIN?

• (-∞,∞)
• [0,∞)
• (-∞,0]
• -2, 2

If the blue function is f(x)=√x, the red function must be

• g(x)=√(-x)
• g(x)=√(x-1)
• g(x)=√x-1
• g(x)=-√x

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)
• f(-x)
• f^-1(x)
• f(2x)