Identify characteristics of the quadratic function and its graph:
Vertex: (_______ ,_______ )
y-intercept: _______
Axis of symmetry: _______
Domain: _______
Range: {y | _______ ≤ y}
Question 7
7.
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 8
8.
Question 9
9.
Question 10
10.
Graph:
Click a Graph tab (Graph 1, Graph 2, and so on) for each graph you need to plot.
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.
After creating your graph, you can check the dashed line box.
Question 11
11.
Question 12
12.
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 13
13.
Write a function, in vertex form, so the water goes through the window at its maximum height and passes through the given point. (Simplify all fractions)
f(x) = a(x - h)2 + k
What is the vertex?
Which equation could be represented in the graph?
The picture below represents the path of a ball after being kicked.
What is the domain of the ball?
The picture below represents the path of a ball after being kicked.
What is the range of the ball
Describe the transformation from graph "f" to graph "g".