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Manual Graph Functions

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Without a calculator, sketch the following function. Make sure to label both the x and y intercepts. (HINT: Find the zeroes and y-intercept in terms of c)
Function: y=x^2-4cx+4c^2, for c > 0

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Solution Preview

y=x^2-4cx+4c^2, for c > 0

When plotting a parabola, the most important points are the x and y intercepts. These are the points where the parabola crosses the x and y axes.

y-intercept:

This is the point when the x-value is zero:
x=0
Thus,
y=x^2-4cx+4c^2=(0)^2-4c*(0)+4c^2=4c^2
Thus, the y-intercept ...

Solution Summary

This solution explains how to graph a given function manually.

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