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

Apr 27, 2017

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

Explanation:

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

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

There is only thing changed:

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

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

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

Because everything stayed the same, in terms of drawing, just draw the parabola, $8$ 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 :)