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6.1 Graphing Quadratic Functions in Standard Form.

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Presentation on theme: "6.1 Graphing Quadratic Functions in Standard Form."— Presentation transcript:

1 6.1 Graphing Quadratic Functions in Standard Form

2 What is standard form of a quadratic function? What do we know about the graph from the equation? The y-intercept is at (0, c) The axis of symmetry is a value still tells us the same information

3 Where would the vertex be? What important value is located at the vertex?

4 For each of the following Examples, find: -the y-intercept -the equation of the axis of symmetry - the vertex. Then graph the function.

5 1) Examples: Find the y-intercept, the equation of the axis of symmetry, and the vertex. Then graph the function.

6 2)

7 Try these! 3)4)

8 Examples: Determine whether the function has a maximum or a minimum value and state the value. 5)

9 6)

10 7)

11 Examples: Write the quadratic equation in standard form. 8) 9)

12 Application! 10) Super Carucci is just a newbie with his super powers. He's still at the "able to leap tall buildings in a single bound" stage. He jumped one building and then wanted to find out how high he jumped. He figured out the equation of his jump to be f(x) = -x 2 + 200x – 8500. How high did he jump?

13 11) Which of the following equations is symmetric about the y-axis? A)B) C)D)


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