Algebra 1 - Category 5

The quadratic function below models the profit a company makes based on the quantity of items it sells to customers.
What is the greatest profit the company can make based on the sale of these items?

• $3.50
• $8
• $34
• $40

How will the graph of y = 5x²  be affected if the coefficient of x² becomes -5?

• The graph will become wider.
• The graph will become narrower.
• The graph will be reflected across the y-axis.
• The graph will be reflected across the x-axis.

Which describes the range of the function with the graph shown?

• y ≥ 0
• y ≥ -5
• x ≥ -6
• y ≥ -6

A model rocket was fired upward at an initial speed of 60 meters per second. The function h = 60t - 4.9t² shows the relationship between the time elapsed and the rocket's height above the ground, where t is the time in seconds and h is the height in meters. The graph of this function is shown.
What is the best conclusion about the rocket's movement?

• The speed of the rocket was greatest at about 6 seconds after it was fired.
• The rocket traveled 180 meters.
• The rocket reached its maximum height in about 6 seconds.
• The rocket returned to the ground in about 6 seconds.

What are the x-intercepts of the graph of the equation 
y = x² + 3x - 10?

• x = -2, x = -5
• x = -2, x = 5
• x = 2, x = 5
• x = 2, x = -5

What are the roots of the quadratic equation 2x² + 6x - 20 = 0?

• 2 and 5
• 2 and -5
• -2 and 5
• -2 and -5

The quadratic expression x² + x - 12 is modeled using algebraic tiles.
What are the solutions to the equation x² + x - 12 = 0?

• x = -3 and x = -4
• x = 3 and x = 4
• x = 3 and x = -4
• x = -3 and x = 4

The quadratic function models the path of a soccer ball as it is kicked up in the air.
About how long does it take the ball to hit the ground?

• 1.5 seconds
• 3 seconds
• 5 seconds
• 40 seconds

The value in points of a possible bonus you can earn at the end of a level in a video game is given by the quadratic function v(t) = 0.5t² + 15t, where t is the amount of time spent on the level, in minutes. What is the domain of this function?

• All positive numbers less than or equal to 3
• All positive numbers less than or equal to 11.25
• All positive numbers
• All numbers greater than 15

How will the graph of
y = 3x² be affected if the coefficient of x² becomes 6?

• The graph will be shifted up by 3 units.
• The graph will be reflected across the y-axis.
• The graph will be narrower.
• The graph will be wider.