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29 December, 11:24

If I wanted to change the y-intercept of a quadratic from (0,2) to (0,5), which transformation explains what happened to the graph?

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  1. 29 December, 11:45
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    Many transformations will affect the y-intercept of a quadratic. However, the most obvious one is translation, which moves the whole quadratic up (or down if k<0) by an amount k.

    The transformation is

    T (0, k) f (x) - > f (x) + k

    For example, the quadratic f (x) = x^2+2x+2 (y-intercept = 2) will be transformed to f (x) - >f (x) + (5-2) = f (x) + 3=x^2+2x+5.
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