Quadratics Unit Review

What is the range of this function?

• All real numbers.
• All real numbers greater than or equal to 0.
• All real numbers greater than or equal to -2.
• All real numbers greater than or equal to 2.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Identify the domain and range of the function.

• Domain: -6 ≤ x ≤ 2
  Range: -3 ≤ y ≤ 5
• Domain: All real number
  Range: -3 ≤ y ≤ 5
• Domain: All real numbers
  Range: y ≥ -3
• Domain: All real number
  Range: y ≤ -3

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?

• The maximum height of the ball was 2 centimeters.

• The maximum height of the ball was 2000 centimeters.

• f(1) = 1000

• f(4) = 2000

The graph shows the height of a rocket over time. What conclusion can be made about the flight of the rocket?

• The rocket reached its maximum height at 4 seconds.
• At 0 seconds, the rocket was 3 meters off the ground.
• The rocket was in flight for 16 seconds.   
• The maximum height of the rocket was 8 meters.

Which if the following is an equation for a quadratic function that opens downward and has the vertex of (-4, 7)?

• f(x)= -(x-4)²+7
• f(x)= (x+4)²+7
• f(x)= -(x+4)²+7
• f(x)= (x-4)²+7

How does the graph of g(x)=3x² compare to the quadratic parent function f(x)=x² ?

• The graph of g(x) is wider than the graph of f(x).
• The graph of g(x) is narrower than the graph of f(x).
• The graph of g(x) is translated up 3 units above f(x).
• The graph of g(x) is translated down 3 units below f(x).

How would you describe the translation from f(x)=x²  to  f(x)=(x-3)² ?

• Horizontal translation: three units to the left
• Horizontal translation: three units to the right
• Vertical translation: three units up
• Vertical translation: three units down

Which describes the transformation of the graph of f(x) = x² to the graph of g(x) = -4x²

• Reflected, narrower

• reflected, wider

• shifted down 4 units

• shifted up 4 units

Which quadratic is the narrowest graph?

• y = 3x²
• y = 4x²
• y = 2x²

Which quadratic graph is the widest?

• y = 5x²
• y = -¼x²
• y = -½x²
• y = 5x²