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.
Question 8
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 > _______
Question 9
9.
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: _______
Question 10
10.
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:
Question 11
11.
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:
Question 12
12.
Does the graph represent a minimum or maximum function? What is the min or max value?
Type min or max: _______
Min/Max value: _______
Question 13
13.
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.
Question 14
14.
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.
Question 15
15.
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
Question 16
16.
Find all the zeros of the function: (if multiple solutions, separate with commas)
Question 17
17.
Determine whether the function has a maximum value or a minimum value. Then find the value.
Min/Max: _______
Value: _______
Question 18
18.
Describe the transformation from graph "f" to graph "g".
Question 19
19.
Describe the transformation from graph "f" to graph "g".
Question 20
20.
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 + _______
Question 21
21.
Write a function, in vertex form, so the water goes through the window at its maximum height.
f(x) = a(x - h)2 + k
Question 22
22.
Write a function, in intercept form, that goes through the points: