“P. Sherman, 42 Wallaby Way, Sydney!”

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“P. Sherman, 42 Wallaby Way, Sydney!”

3.1 Quadratic Functions

Quadratic Functions A quadratic function is a function of the form: where a, b, and c are real numbers and a ≠ 0. Vertex form of a quadratic equation: A quadratic function can be written in vertex form by completing the square.

Graphing Quadratic Functions Graph the following function using tranformations.

Finding Quadratic Equations a) Determine the quadratic equation in standard form whose vertex is (4,-1) and passes through the point (2,7). b) Graph the function

Graphing Quadratics by Hand 1) Determine the axis of symmetry. 2) Determine the vertex. 3) Determine the y-intercept. 4) Determine an additional point using symmetry. 5) Plot the points and draw the graph.

Quadratic Functions Determine the following for the quadratic function: Opens up or down 2. Maximum or Minimum Axis of Symmetry 4. Vertex y-intercept 6. x-intercept(s) Domain 8. Range 9. Increasing Interval 10. Decreasing Interval

Quadratic Functions Graph the following function using transformations: Determine the domain and range of the function without using a calculator. Graph the following function by finding the vertex, axis of symmetry, and y-intercept: Determine the domain and range of the function without using a calculator

3.1 Quadratic Functions Homework #25: pgs. 164 – 166 #23 – 29 odd, 45 – 51 odd, 55, 57, 78, 79