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


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

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

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Sec 7 finding the max min of a quadratic equation

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

Quality Core Practice


Solving quadratic equations practice

  • Give exact solutions.

  • Estimate solutions to the nearest tenth.

Solving Quadratic Equations Practice


Max min formula

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?

Max/Min Formula


Ex 1 finding a vertex algebraically

Find the vertex of the parabola

  • Is this a max or a min?

  • Using your graphing calculator check your answer.

Ex 1: Finding a Vertex Algebraically


Ex 2 not the real world

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!!!


Ex 3 using a vertex to graph a quadratic function

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


Homework

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


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