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Quadratic Functions: Standard Form

Quadratic Functions: Standard Form. Today’s Objective: I can graph a quadratic function in standard form. The function models the height h of the soccer ball as it travels distance x . What is the maximum height of the ball? Explain. Quadratic Function: Vertex Form. Attributes:

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Quadratic Functions: Standard Form

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  1. Quadratic Functions:Standard Form Today’s Objective: I can graph a quadratic function in standard form

  2. The function models the height h of the soccer ball as it travels distance x. What is the maximum height of the ball? Explain.

  3. Quadratic Function: Vertex Form • Attributes: • Opens up (a > 0) or down (a < 0) • Vertex is maximum or minimum • Vertex: (h, k) • Axis of symmetry:

  4. Quadratic Function: Standard Form • Attributes: • Opens up (a > 0) or down (a < 0) • Vertex is maximum or minimum • y-intercept: (0, c) • Can be determined with a little work • Axis of symmetry: • Vertex: • (0, c) Evaluate f(x) at

  5. Graphing a Quadratic Function: Standard form • Vertex: Plot the vertex Find and plot two points to the right of vertex. Plot the pointacross axis of symmetry. Sketch the curve. Axis of Symmetry: Domain: Range: All Real Numbers

  6. Graphing a Quadratic Function: Standard form • Vertex: Plot the vertex Find and plot two points to the right of vertex. Plot the pointacross axis of symmetry. Sketch the curve. Axis of Symmetry: Domain: Range: 2 All Real Numbers

  7. Graphing a Quadratic Function: Standard form • Vertex: Axis of Symmetry: Domain: Range: All Real Numbers Vertex on Calculator: [2nd], [trace] Choose minimum or maximum Move curser left of vertex, [enter] Move curser right of vertex, [enter] [enter] -0.5

  8. Standard form to Vertex form • a value is the same • Find the vertex

  9. Bungee Jumping You can model the arch of this bridge with the function How high above the river is the arch? Maximum Arch height: • Pg. 206 #8-30 evens

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