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Warm up

Warm up. Find 1. h(3) 2. -2h(4). Reflecting Graphs 8.3. Goal. We have talked about horizontal and vertical shifts, now we are going to FLIP the graph. . What do these look like?. Flipped over y-axis. Flipped over x-axis. We use Negative signs to flip:. Given a function y=f(x)

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Warm up

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  1. Warm up Find 1. h(3) 2. -2h(4)

  2. Reflecting Graphs8.3

  3. Goal • We have talked about horizontal and vertical shifts, now we are going to FLIP the graph.

  4. What do these look like? Flipped over y-axis Flipped over x-axis

  5. We use Negative signs to flip: • Given a function y=f(x) • y= - f(x) Flips over x axis. • Negative is on outside of parenthesis. • y= f(-x) Flips over y axis. • Negative is on inside of parentheses.

  6. Example 1

  7. Example 2 • Graph the equation

  8. Example 3 • Write an equation for the graph below Answer:

  9. You try! • Write an equation for the graph below Answer:

  10. Use sentences to describe the transformations of the function • It is reflected over the x-axis. • It is shifted up 2 units. • It is shifted to the left 1 unit.

  11. Use sentences to describe the transformations of the function • It is reflected over the x-axis. • It is shifted down 2 units. • It is shifted to the right 3 units.

  12. You try! 3 Sentences… It is shifted up 2 units. It is shifted to the left 3 units.

  13. Practice • Graph the equation

  14. Homework • 8.3 Worksheet • Skip 3.

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