MAT-1025 Midterm: MATH 1025 App State summer2012 Test3 answer key
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Name: answer key: (30 points) transforming graphs. Be sure to show your work! (a) suppose we take the equation y = f (x) and modify it so y = f (x 2) + 6. Then the graph of f has been. shifted left / right by. This is the same as y = 4x2. Though these equations are equivalent, each one suggests a di erent interpretation. Considering the equation y = 4x2, we have y = x2 vertically scaled by 4. However, viewing this equation as y = (2x)2, we have replaced x with 2x which compresses the graph horizontally by a factor of 2: y = x2 has been stretched / compressed vertically by a factor of. Ii. y = x2 has been stretched / compressed horizontally by a factor of. Let"s record the e ect of each transformation: (0) y = f (x), (1) y = 1. 2 f (x+5)+2, and (4) y = (cid:0) 1.
