Solving Problems Involving Quadratic Relations

Solve the following problems involving quadratic relations. You can choose to do so algebraically or graphically. If you choose to solve it graphically, you must attach a rough sketch of the graph from Desmos. If you choose to solve algebraically, SHOW ALL OF YOUR WORK.

The path of a tennis ball after it is hit can be modelled by the equation , where h is the height in meters and t is the time in seconds.
a) How long was the ball in the air?
b) How long did it take the ball to reach its maximum height?
c) What was the maximum height of the ball?

Graphing Quadratic Relations Algebraically
Graph the following quadratic relations algebraically by finding each of the key features listed.

x^2−5 x+4
1. y-intercept
2. Zeroes (x-intercepts)
3. Axis of Symmetry
4. Vertex
5. Maximum/Minimum value

x^2−5 x+6
1. y-intercept
2. Zeroes (x-intercepts)
3. Axis of Symmetry
4. Vertex
5. Maximum/Minimum value

x^2−x−6
1. y-intercept
2. Zeroes (x-intercepts)
3. Axis of Symmetry
4. Vertex
5. Maximum/Minimum value

x^2−10 x+25
1. y-intercept
2. Zeroes (x-intercepts)
3. Axis of Symmetry
4. Vertex
5. Maximum/Minimum value

Solve applications involving quadraticfunctions.

Solve applications involving quadratic functions