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Answer:
option (d)
Step-by-step explanation:
crossing the x axis at -3 gives a factor of (x + 3)
crossing the x axis at -½ gives a factor of (x + ½)
multiplying this by 2 just stretches the curve a bit vertically so the factor becomes (2x + 1)
The curve being tangent to the x axis at 3 gives us two factors of (x - 3)
The plot shows the difference in exchanging the (2x + 1) factor with (x + ½)
Both plots follow the same shape and have the same x intercepts.
Our exemplar plot has no y values, so we are not sure of the magnification anyway.