Sec 2.12 Functions – Transforms of Functions Name: Consider the following EQUATIONS, make a table, plot the points, and graph what you think the graph looks like. x y x y x y -3 -4 1. 2. 3. 4. x y -2 -2 -2 -1.5 -1.5 -1 -1 -1 -1 0 0 -0.5 0 1 1 0 1 2 2 0.5 1.5 3 4 1 2 1.5 5. What happens to the as the number in front of x2 gets larger? Smaller? x y x y x y -2 -3 6. 7. 8. 9. x y -3 -1.5 -2 -3 -2 -1 -1 -2 -1 0 0 -1 0 1 1 0 1 1.5 2 1 2 2 3 2 3 3 10. What happens to the graph as the number in front of x2 is negative? 11. What happens when you add a number or subtract a number from x2?
Sec 2.12 – Functions Transforms of Functions Name: x y -4 -2 -1 0 1 2 4 Consider the following EQUATIONS, make a table, plot the points, and graph what you think the graph looks like. x y -3 -2 -1 0 1 2 3 x y -2 -1.5 -1 0 1 1.5 2 x y -1.5 -1 -0.5 0 0.5 1 1.5 1. 2. 3. 4. 5. What happens to the as the number in front of x2 gets larger? Smaller? x y -3 -2 -1 0 1 2 3 x y -2 -1.5 -1 0 1 1.5 2 x y -3 -2 -1 0 1 2 3 x y -3 -2 -1 0 1 2 3 6. 7. 8. 9. 10. What happens to the graph as the number in front of x2 is negative? 11. What happens when you add a number or subtract a number from x2?
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