# How do you sketch the graph of #y=2(x+4)^2-3# and describe the transformation?

##### 1 Answer

See Explanation. Transformations are vertical stretch by a factor of 2, horizontal shift 4 units left, vertical shift 3 units down.

#### Explanation:

This is a quadratic in vertex form.

This means a

Now the graphs. I do one transformation each time to show the steps.

graph{x^2 [-4.75, 5.25, -0.98, 4.02]}

graph{2x^2 [-4.75, 5.25, -0.98, 4.02]}

graph{2(x+4)^2 [-8.25, 1.75, -0.9, 4.1]}

graph{2(x+4)^2-3 [-8.04, 1.96, -3.22, 1.78]}