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Sec 7: Finding the Max/Min of a Quadratic Equation

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Homework:

Max/Min worksheet

Sec 7: Finding the Max/Min of a Quadratic Equation

Learning Target: I will calculate the maximum or minimum of a quadratic equation and apply it to real-world situations.

- Give exact solutions.
- Estimate solutions to the nearest tenth.

To find thex-valueof a vertex for any quadratic equation in the form , use the formula:

Think About It:

How could you find the y-value if you have the x-value?

Find the vertex of the parabola

- Is this a max or a min?
- Using your graphing calculator check your answer.

A ball is thrown from the top of a building 80 feet tall with a velocity of 15 feet/sec modeled by the equation

- How high will the ball go?
- At what time will the ball reach it’s maximum height?

Graph

- Find the x-value of the vertex.
- Make a table of values with the vertex in the middle.
- Find the matching y-values.
- Graph

Max/Min Worksheet

*Hint – be careful about determining if you want just the x-value or if you should go on to find the y-value.