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Warm up

Warm up. Find: g(1) and g(5) + 7 Don’t freak out! Just plug the number in for x and solve . . Translating graphs Part 1 8.2a (skipped 8.1). What does this mean?. Simply picking up a graph, and moving it. Either up and down, or side to side. What these can look like….

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Warm up

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  1. Warm up Find: g(1) and g(5) + 7 Don’t freak out! Just plug the number in for x and solve.

  2. Translating graphs Part 18.2a (skipped 8.1)

  3. What does this mean? • Simply picking up a graph, and moving it. Either up and down, or side to side.

  4. What these can look like… • Same graph, just in a new location

  5. We need a way to explain the location of a graph using equations.

  6. First we need to know the general equation for each function. They are called the Parent Functions

  7. The main three you will work with for now

  8. What is a vertex? • The peak in the curve, or the tip of the graph. • We will use the vertex to figure out where the graph moved.

  9. What is the coordinates for the vertex of the blue graph? • (0,0) • Of the red? • (-3, .5)

  10. What is the coordinates for the vertex of the blue graph? • (0,0) • Of the red? • (3, 0)

  11. Looking at the vertex is the easiest way to tell where the function shifted.

  12. General Transformation Equation • k=vertical shift (up and down) • +k is up • -k is down. • h=horizontal shift (side to side) • (x-h) is shifted to the RIGHT • (x+h) is shifted to the LEFT

  13. Example 1: (blue is original, red is shifted) • Questions to ask yourself • What is the parent function? y=x 2. Has it shifted left or right? No 3. Has it shifted up/down? Yes, it went up 3. 4. What is the equation?

  14. Example 2: blue is original, red is shifted

  15. Example 3

  16. You try! Blue is original. • Answer:

  17. Homework • Problems 1 and 2 • For 2, identify the vertices AND write an equation for each graph.

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