# How do you sketch the graph of #y=(x-4)^2# and describe the transformation?

##### 2 Answers

see below

#### Explanation:

The graph of

graph{(x-4)^2 [-7.58, 12.42, -2.96, 7.04]}

The transformation from the parent graph

See explanation

#### Explanation:

The first step in any transformation problem is identify the parent function. We know the function is a parabola since the variable has a power of

To begin graphing, we can start with graphing the parent function (that is

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

If we recall our transformation rules, we would know that the graph

Here is a graph with the original function and the final function just so you can see that all we really did was shift the function

This table on transformation rules may be of good use: