# How do you sketch the graph of #y=(x+4)^2-5# and describe the transformation?

##### 1 Answer

Move the graph of

#### Explanation:

Okay, so this quadratic equation is called the turning point form. Notice how that if you expand the expression in the brackets, there will be no coefficient for x, thus, the graph will not dilate or become narrow.

This is called the turning point form because the instructions on how to move the graph are in the equation itself.

The constant outside the bracket represents the number of units you will have the move on the y-axis. In this case, it is

But wait! Wouldn't you move the graph four units to the right because the constant in the brackets is positive? Yes, you would. However, the sign of the constant in the brackets must be change to the opposite. In this case, the positive sign will change into the negative sign.

All you have to do is move the graph of

All you have left to do is to find the y and x-intercept. The y-intercept can be found by just turning the

The x-intercept can be found by using the null factor law. Since the

Apply null factor law.

or

Those are the two x-intercepts, all you have to do is to plug in these coordinates and connect the dots!

Hope this helps!