IM Alg1.7.16 Practice: The Quadratic Formula
For each equation, identify the values of , , and that you would substitute into the quadratic formula to solve the equation.
Use the quadratic formula to show that the given solutions are correct.
. The solutions are and .
. The solutions are and .
. The solutions are .
Select all the equations that are equivalent to .
Two objects are launched upward. Each function gives the distance from the ground in meters as a function of time, , in seconds.
| Object A: | Object B: |
Use graphing technology to graph each function.
Which object reaches the ground first? Explain how you know.
What is the maximum height of each object?
Identify the values of , , and that you would substitute into the quadratic formula to solve the equation.
On the same coordinate plane, sketch a graph of each function.
- Function , defined by
- Function , defined by