Quads Quiz SumSch

A bird drops a stick to the ground from a height of 80 ft. The function h = -16t^2 + 80 gives the stick's approximate height h above the ground, in feet, after t seconds. Graph the function. At about what time does the stick hit the ground?

• Graph A

• Graph B

• Graph C

• Graph D

The stick hits the ground at ______ seconds. (Round to one decimal place as needed.)

During halftime of a basketball game, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 3 feet with an initial upward velocity of 72 feet per second. The T-shirt is caught 31 feet above the court. How long will it take the T-shirt to reach its maximum height? What is the range of the function that models the height of the T-shirt over time? The T-shirt takes ______ second(s) to reach its maximum height. (Type an integer or a decimal.) The T-shirt's maximum height is ______ feet above the court. (Type an integer or a decimal.) What is the range of the function?

• A. 0 ≤ h ≤ 84

• B. 31 ≤ h ≤ 84

• C. 3 ≤ h ≤ 84

• D. All real numbers

Model the following problem with a quadratic equation. Then solve. Find the length of a side of a square with an area of 150 ft^2. Model the problem with a quadratic equation. Let x be the length of a side of the square. (Simplify your answer. Type an equation using x as the variable.) Solve to find the length of the side. The length of a side of the square is ______ ft. (Type an integer or decimal rounded to the nearest tenth as needed.)

In a projectile motion problem, if the question is asking when an object will hit the ground, what part of the graph are you looking for? (Provided y is the height of the object and x is time)

• The y-intercept

• The x-intercepts

• The x-coordinate of the vertex

• The y-coordinate of the vertex

• Something else

Which of the following is written in the correct vertex form and identifies the correct vertex and y-intercept for the function                 f(x)= x²+6x-1?

• y=(x+3)²-10
  Vertex: (-3, -10)
  y-intercept: (0, -1)
• y=(x+3)²+19
  Vertex: (-3, 19)
  y-intercept: (0, 1)
• y=(x+3)²+1
  Vertex: (-3, -1)
  y-intercept: (0, -10)
• y=(x-3)²+10
  Vertex: (3, 10)
  y-intercept: (0, -1)

Find the Vertex: y= -5x² -20x - 26

• (-2, -6)

• (2, 6)

• (6,2)

• (3, 6)

• No solutions

• One solution

• Two solutions

• Infinitely many solutions

Find the vertex of 
f(x) = -x² - 4x + 12.

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

What is another word for solutions? (Choose all that apply)

• y-intercepts

• roots

• vertex

• zeros

• x-intercepts