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2.10 Graph y = ax 2 + c

2.10 Graph y = ax 2 + c. 2.10-2.11 Quiz: Friday Midterm: March 11. Vocabulary. A quadratic function is a nonlinear (not a line) function that can be written in the standard form y = ax 2 + bx + c where a ≠ 0 Every quadratic function has a U-shaped graph called a parabola . Vocabulary.

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2.10 Graph y = ax 2 + c

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  1. 2.10Graph y = ax2 + c 2.10-2.11 Quiz: Friday Midterm: March 11

  2. Vocabulary • A quadratic function is a nonlinear (not a line) function that can be written in the standard form y = ax2+ bx + c where a ≠ 0 • Every quadratic function has a U-shaped graph called a parabola.

  3. Vocabulary • The most basic quadratic function in the family of quadratic functions, called the parent quadratic function, is y = x2

  4. Parts of a Parabola • The lowest or highest point on a parabola is the vertex. • The line that passes through the vertex and divides the parabola into two symmetric parts is called the axis of symmetry.

  5. Graph y = ax2 • The coefficient “a” can stretch or shrink the graph. • If “a” is negative then the graph flips upside down. (Or as I like to call it…makes a SAD face)

  6. Example 1: • Graph y = 2x2. Compare the graph with the parent function, y = x2. • You need to make a table of values.

  7. You Try: • Graph y = 1/2x2. Compare the graph with the parent function, y = x2.

  8. Example 2: • Graph y = -3x2. Compare the graph with the parent function, y = x2. • You need to make a table of values.

  9. Graph y = ax2 + c • The constant “c” moves the graph up or down. • If “c” is positive it moves the graph up • if “c” is negative it moves the graph down.

  10. Example 4: • Graph y = x2 + 2. Compare the graph with the parent function, y = x2. • You need to make a table of values.

  11. You Try: • Graph y = x2 – 4. Compare the graph with the parent function, y = x2.

  12. Homework: • P. 100 # 1-9all, 16, 17, 20, 21

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