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Compare y=x^2 with y = -2 (x+3)^2-1

User Kiran Sk
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Answer:

See below

Explanation:

While both are quadratic, second-degree equations, there are a number of differences. y = -2(x+3)^2 - 1 has been flipped over the x-axis (thanks to the negative symbol in front of the 2), stretched by a scale factor of 2, and translated 1 unit down (hence the - 1) and 3 units to the left (full equation for a quadratic equation in vertex form is y = a(x-h)^2 + k. Note the minus sign before the h. This means that the equation was horizontally translated in the opposite direction of what the + or - sign suggests). y=x^2, of course, hasn't had any of these transformations happen to it.

User Camdez
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