Quadratics Review

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

Which of the following describes the graph of f(x)= x² - 2x -15.

• The graph has a maximum and has the x-intercepts of (-3, 0) and (5, 0)
• The graph has a minimum and has the x-intercepts of (-3, 0) and (5, 0)
• The graph has a maximum and has the x-intercepts of (3, 0) and (-5, 0)
• The graph has a minimum and has the x-intercepts of (3, 0) and (-5, 0)

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

What is the solution set for the quadratic function? 

• {-1.4, 4.2}
• {-1.4}
• {4.2}
• {1.5}

Which of the equations represent the graph?

• y=(x+3)(x-1) and y=x²+2x-3
• y=(x+3)(x-1) and y=-x²-2x+3
• y=-(x-3)(x+1) and y= x²+2x-3
• y=-(x+3)(x-1) and y= -x²-2x+3

What is the range for the function below? 

• y ≤ 4
• y ≥ 4
• All real numbers
• -3 ≤ y ≤ 1

A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)= -t² + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down? 

• 10 feet 
• 19 feet
• 13 feet
• 16 feet 

What is the axis of symmetry for the following equation?

y=4x²-8x+9

• x = 5

• x=1

• y = 1

• y = 5

Use the graph to determine the solutions of the equation

0 = x² - 5x + 1

• 0 and 5

• 0.5 and 4.5

• 0.2 and 4.8

• 1 and 7

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Write down: a=1, b=6, c=-13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.