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Graph the following function using transformations. y=1/4(x+)^2 show all work
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"(x+)^2" ???
y=1/4(x+4)^2
Like this? \( \Large y = \dfrac{1}{4}(x+4)^2 \)
yes
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start with the graph of y = x^2 the + 4 moves the whole graph 4 units to the left as for the 1/4 y = af(x) is a stretch factor a parallel to the y-axis
what do you mean by y=af(x)
a multiplies f(x) in this case its 1/4 so here we have a stretch factor 1/4 which is really a 'squash' every value of y in y=x^2 is multiplied by a quarter
the graph will look like this http://www.wolframalpha.com/input/?i=y+%3D+0.25%28x+%2B+4%29%5E2
thank you
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