Exercise: Sketch the graph of y=-3 +3. a) First, express y=-3 x- +3 in the form y = a ·f (c(x + h)) + k where f(x) is function that you know how to graph. f(x) is called the parent function. y=-31 ² (x-2)| + 3 so y = - 3 1 = (x - 21 +3₁ b) Sketch the graph of y = f(x). Plot at least 3 interesting points (all intercepts should be included). y=-3) (-3-211 =-3.1+3=0 - 3 / (0-2) | +3 y = − 3 ) = (2-2) | +3=-3.0 y = -3 -1 (7-2) | +3=-3 X = 7 c) Sketch the graph of y = a f (cx) by dividing the x-coordinates of the curve in Step 1 by c and multiplying the y-coordinates by a. x = 0, y = -3 X - 2 d) Sketch the graph of y = af (c(x + h)) + k by subtracting h from the x- coordinates of the curve in Step 2 and adding k to the y-coordinates. = -

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