Quadratic Graphs That Represent a Situation

Identify the function shown shown
.

• Linear

• Quadratic

• Exponential 

• Not answering

Is this table linear, quadratic, exponential, or none of the above?

• linear

• quadratic

• exponential

• none of the above

The graph shows the height, y, in meters, of a rocket above sea level in terms of the time, t, in seconds, since it was launched. The rocket landed at sea level.

What does the x-intercept represent in this situation?

• the height from which the rocket was launched

• the time it took the rocket to return to sea level

• the total distance the rocket flew while it was in flight

• the time it took the rocket to reach the highest point in its flight

Which statement compares the graphs of f(x) and g(x) over the interval [0, 5]?

• The graph of f(x) always exceeds the graph of g(x) over the interval [0, 5].

• The graph of g(x) always exceeds the graph of f(x) over the interval [0, 5].

• The graph of g(x) exceeds the graph of f(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of f(x) exceeds the graph of g(x).

• The graph of f(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of g(x) exceeds the graph of f(x).

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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)

Identify the axis of symmetry.  (a)   What is the y-intercept?​ (b)   What is the minimum​ (c)   ​ What is f(-3)​ (d)  

• x=-1

• (0,5)

• 4

• y=-1

• x=4

• y=4

• (5,0)

• 8

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

Identify the axis of symmetry.  (a)   What is the y-intercept?​ (b)   What is the minimum​ (c)   What is f(-3)​ (d)  

• x=-1

• (0,5)

• 4

• y=-1

• x=4

• y=4

• (5,0)

• 8

Identify the axis of symmetry.  (a)   What is the y-intercept?​ (b)   What is the minimum​ (c)   What is f(-3)​ (d)  

• x=-1

• (0,5)

• 4

• y=-1

• x=4

• y=4

• (5,0)

• 8