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Chapter 8 Practice Test

Last updated almost 2 years ago
22 questions
1

Evaluate f(3):

1

Evaluate (-2):

2
What is the vertex?

Vertex: (_______ , _______ )
1

What is the maximum?

1

Which equation could be represented in the graph?

1

Which function could be represented in the graph?

1

Graph:

  • Click the graph tab.
  • Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
8
Identify characteristics of the quadratic function and its graph:

Vertex: (_______ ,_______ )

y-intercept: _______

Axis of symmetry: _______

Domain: _______

Range: {y | _______ ≤ y }

The graph is decreasing when x < _______
The graph is increasing when x > _______
4
A ball is being kicked and the curve shows the path of the ball where x is the horizontal distance and y is the vertical distance. What are the following key features?

Vertex: (_______ , _______ )

y-intercept: _______

Axis of Symmetry: _______
1

A ball is being kicked and the curve shows the path of the ball where x is the horizontal distance and y is the vertical distance. What is the domain? Write your response in set-builder notation:

1

A ball is being kicked and the curve shows the path of the ball where x is the horizontal distance and y is the vertical distance. What is the range? Write your response in set-builder notation:

2
Does the graph represent a minimum or maximum function? What is the min or max value?

Type min or max: _______

Min/Max value: _______
1

Graph:

  • Click the graph tab.
  • Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
1

Plot 5 points. Use the vertex and two points immediately to the right and left of the vertex.

  • Click the graph tab.
  • Click on the graph background to add a point. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
3
The equation below represents the path of a water rocket after it is launched where h(t) is the height above the ground in meters and t is the time after launch.


How many seconds does it take to reach the maximum height? _______ seconds

What is the maximum height of the rocket? _______ meters

What is the total flight time for the rocket? _______ seconds
1

Find all the zeros of the function: (if multiple solutions, separate with commas)

2
Determine whether the function has a maximum value or a minimum value. Then find the value.

Min/Max: _______

Value: _______
1

Describe the transformation from graph "f" to graph "g".

1

Describe the transformation from graph "f" to graph "g".

2
Complete the function so the water from the fire hose could possibly go through the window at its maximum height. Ignore the "a" value.

f(x) = a(x - _______ )2 + _______
1

Write a function, in vertex form, so the water goes through the window at its maximum height.

f(x) = a(x - h)2 + k

1

Write a function, in intercept form, that goes through the points: