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]}