Ball in Air Quadratic Graphs

A baseball is hit into the air. The height of the baseball, in feet, as a function of time, in seconds, is represented in the graph. In the context of the problem, what is the meaning of (5, 246)?

• The maximum height is 246 feet.

• After 246 seconds, the baseball is 5 feet in the air.

• After 5 seconds, the baseball is 246 feet in the air.

• The baseball hits the ground at 5 seconds.

This graph shows the height of a soccer ball in feet over time in seconds. Which statement is true?

• The soccer ball hits the ground again at 6 seconds.

• The soccer ball reaches a minimum point at 3 seconds.

• The soccer ball starts at a height of 4 feet.

• The soccer ball stays on the ground the whole time.

When did the water reach its maximum height?

Choose the best answer.

• 2 seconds

• 9 seconds

• 0 seconds

• 3.8 seconds

How high was the ball when it was initially (first) thrown? Choose the best answer.

• 0 feet because this is the y-intercept.

• 3 feet because this is the y-intercept.

• 4 seconds because this is the axis of symmetry.

• 5 feet because this is the y-value of the vertex (highest point).

The graph of quadratic function f is shown on the grid.

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Minimum Value: (d)  

• (-3, -5)

• (0, 4)

• x = -3

• -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• 4

• x = -5

• -4

The graph of quadratic function f is shown on the grid.

f(x) = (x + 3)² − 5

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Minimum Value: (d)  

• (-3, -5)

• (0, 4)

• x = -3

• -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• 4

• x = -5

• -4

Which statement is not true about the function graphed? 

• The graph has a max value of -4

• The graph has a zero at (-3,0)

• The graph has a vertex at (-1, -4)

• The graph has a y-intercept at (0, -3)

The graph of quadratic function f is shown on the grid.

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Range : (d)  

• (-3, -5)

• (0, 4)

• x = -3

• x ≥ -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• x ≥ 3

• x = -5

• -4

Looking at the graph,

The vertex is at Point ​ (a)  

The Positive Zero is at Point ​ (b)  

The y-intercept is at Point ​ (c)  

The Negative Zero is a Point ​ (d)  

• 3

• 4

• 2

• 1

• Not Shown

Which statement about the graph is FALSE?

• The vertex is (-3, 18)

• The vertex is a maximum

• The y-intercept is y = 0

• The axis of symmetry is y = -3