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Section 7.5 – Graphing Quadratic Functions Using Properties

Section 7.5 – Graphing Quadratic Functions Using Properties. Quadratic Function. A function that can be written in the form , where is a quadratic function . The graph of a quadratic function is a parabola. o pens up Concave Up.

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Section 7.5 – Graphing Quadratic Functions Using Properties

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  1. Section 7.5 – Graphing Quadratic Functions Using Properties

  2. Quadratic Function A function that can be written in the form , where is a quadratic function. The graph of a quadratic function is a parabola. opens up Concave Up x-intercept y-intercept vertex

  3. Quadratic Function - Concavity

  4. Quadratic Function - Concavity If a > 0, concave up If a < 0, concave down Matching

  5. Quadratic Function – y-intercept

  6. Quadratic Function – y-intercept y-intercept: (0, c) Matching

  7. Quadratic Function – x-intercepts Can’t be factored using real numbers

  8. Quadratic Function – x-intercepts The x-intercepts of are the REAL solutions to the quadratic equation. Two Real Solutions No Real Solutions One Real Solution

  9. Quadratic Function – x-intercepts

  10. Finding the Vertex – Standard Form The vertex of the parabola is an ordered pair, (h, k). It can be found by finding the x value first: Once you have found the x value, substitute that value in to the function and simplify to find the y value.

  11. Finding the Vertex - Standard Form Vertex:

  12. Finding the Vertex - Standard Form Vertex:

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