Quadratic Function Analysis

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t² + 64t + 960.
What is the maximum height?

• 960 feet

• 1008 feet

• 1024 feet

• 1152 feet

A ball is thrown from ground level straight up into the air at an initial velocity of 54 feet per second. The height of the ball tseconds after it is thrown is given by the formula h(t) = 54t − 16t². How many seconds after the ball is thrown will it return to the ground?

• 2.875

• 3.375

• 4

• 4.25

• The graph has exactly one zero

A ball is thrown into the air with an initial velocity of 15 m/s. The height of the ball can be modeled by the equation h(t) = -2t^2 + 15t + 3, where h(t) represents the height of the ball at time t in seconds. How long does it take for the ball to reach its maximum height?

• 3.75

• 4.5

• 5.25

• 2.5

A function is shown. f(x) = x² - 6x -27.

Fill in the blanks below to make the statement true.

"The graph of f(x) has a minimum value of ​ (a)   and has zeros at ​ (b)   and ​ (c)   ​

• -27

• -36

• -33

• -42

• -9

• -3

• 0

• 3

• 9

• 4

​ (a)   ​ (b)   ​ (c)   ​ (d)   ​ (e)  

• x-intercept/roots at (-3,0) and (1,0)

• vertex of (-1,4)

• y-intercept at (0,3)

• maximum at y = 4

• axis of symmetry at x = -1

• minimum at y = 4

• y-intercept at (0, -3)

• axis of symmetry at x = 4

• roots at (3,0)

• vertex at (4,-1)

Analyze the given graph and the determine the correct function.​ (a)   ​ (b)  

• x(x-2)

• x+(x-2)

• (x+4)(x+5)

• (x-0)

Mathematical Equivalence

ON

Tags

AI.9.7.C

Which of the following are true about the quadratic function shown? (Choose TWO answers)

• the vertex is (-2, 0)

• the axis of symmetry is at x = -2

• There are two roots

• the vertex is a maximum

Answer explanation

This is only one possible choice. As long as the y-intercept is less than 3 and the quadratic shows a maximum value for its vertex, it would be correct.