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Vertex Form of Quadratic Equation: Shifted & Reflected Characteristics

Learn how to write the equation in vertex form of a quadratic equation that has been shifted right 7 and down 12, and reflected across the x-axis and shifted left 1. Understand the characteristics of linear, exponential, and quadratic graphs including domain, range, intercepts, extrema, end behavior, zeros, and axis of symmetry. Engage in classwork and homework to practice graphing and identifying key features of quadratics.

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Vertex Form of Quadratic Equation: Shifted & Reflected Characteristics

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  1. Warm up Write the equation in vertex form of the quadratic equation that has been: 1. shifted right 7 and down 12 2. reflected across the x-axis and shifted left 1

  2. Questions over HW?

  3. Remember Characteristics of Linear & Exponential Graphs?

  4. Characteristics • Domain: • Range: • Y-Intercept: • Increasing or Decreasing? • Extrema? • End Behavior:

  5. Characteristics • Domain: • Range: • Intercepts: • Increasing or Decreasing? • Horizontal Asymptote: • End Behavior:

  6. Quadratics

  7. Characteristics • Domain: • Range: • Zeros: • Y-Intercept: • Extrema: • Interval of Increase: • Interval of Decrease: • Axis of Symmetry: • Vertex:

  8. Classwork Wil E. Coyote Graph WS & Characteristics of Quadratics

  9. Homework - Worksheet 6 problems Characteristics of Quadratics

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