How do you sketch the graph of $y = {(x - 8)}^{2}$ $y=(x-8)^2$ and describe the transformation?

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Answer 1 · 2017-04-27T06:22:23

Draw $8$ $8$ units to the right. That is the only transformation done.

The easiest way we can do is to graph it and describe what changes were made from the parent function, $y = x^{2}$ $y=x^2$ .

This is a little easier because the equation given is in vertex form.

There is only thing changed:

The $h$ $h$ -value. The $h$ $h$ -value provides the horizontal translations, where we have to isolate the value from $x$ $x$ within the bracket.

Thus, $- 8 \to 8$ $-8 -> 8$ (because we bring it over to equal to $x$ $x$ ).

Everything else stayed the same: $a$ $a$ -value, $k$ $k$ -value.

Because everything stayed the same, in terms of drawing, just draw the parabola, $8$ $8$ units to the right, instead of at the origin.

Transformed function:

graph{(x-8)^2 [-10, 10, -5, 5]}

Parent function:

graph{x^2 [-10, 10, -5, 5]}

Hope this helps :)

How do you sketch the graph of y=(x−8)2y=(x-8)^2 and describe the transformation?