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Practice with Quick Sketches

Practice with Quick Sketches. Last Class…. Vertical Line Test Quick Sketches of 6 Important Functions. Learning Targets. By the end of class, students will be able to: Quick sketch 6 common functions Use shifting to move graphs. Shifting. Two Types of Shifts Vertical shifts: Up and down

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Practice with Quick Sketches

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  1. Practice with Quick Sketches

  2. Last Class… • Vertical Line Test • Quick Sketches of 6 Important Functions

  3. Learning Targets By the end of class, students will be able to: • Quick sketch 6 common functions • Use shifting to move graphs

  4. Shifting • Two Types of Shifts • Vertical shifts: Up and down • Horizontal Shifts: Left and Right

  5. Vertical Shifts • A VERTICAL SHIFT is given by a +/- constant next to the variable term • Examples: • f(x) = x + 3 Compared to our quick sketch of f(x) = x, the graph is shifted 3 units UP

  6. Vertical Shifts • Whether the shift is UP or DOWN depends on the sign in front of the number • Positive: Graph shifts UP • Negative: Graph shifts DOWN

  7. Horizontal Shifts • A HORIZONTAL SHIFT is given by a +/- constant inside the parenthesis or radical sign • Example: f(x) = (x – 3)2 Compared to the quick sketch of the function f(x) = x2, the sketch of our function is moved 3 units to the right.

  8. Horizontal Shifts • Whether the shift is LEFT or RIGHT depends on the sign in front of the number • Positive: Graph shifts LEFT • Negative: Graph shifts RIGHT

  9. “Flipping” • When there is a NEGATIVE sign in front of your function, that means that you turn the function upside down, or 90° • Example: f(x) = -|x| Compared to the quick sketch of the function f(x) = |x|, the sketch of our function is turned upside down.

  10. One person from each group needs to grab… A white board A marker An eraser

  11. “Lightning” Round • You will have 1 minute to sketch the given graph • Point goes to the every group who gets it right • Group with the most points at the end of the period gets a prize (candy)

  12. f(x) = x2

  13. f(x) = (x – 1)3

  14. f(x) = -|x| - 2

  15. f(x) = x + 5

  16. f(x) = √x

  17. f(x) = -x2 + 3

  18. f(x) = √(x – 1) + 3

  19. f(x) = (x + 3)2 – 2

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