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

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# Sec 7: Finding the Max/Min of a Quadratic Equation - PowerPoint PPT Presentation

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. Quality Core Practice. Give exact solutions. Estimate solutions to the nearest tenth.

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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:

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

Max/Min Formula

Find the vertex of the parabola

• Is this a max or a min?
Ex 1: Finding a Vertex Algebraically

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?
Ex 2: Not the Real World!!!

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
Ex 3: Using a Vertex to Graph a Quadratic Function

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.

HOMEWORK