SOLUTION: sketch the graph of {{{y=2+3(x+1)^2}}}, not by plotting points but by starting with {{{g=x^2}}} and using translations. Describe the steps you take in getting the graph of y.

Question 30502: sketch the graph of , not by plotting points but by starting with and using translations. Describe the steps you take in getting the graph of y. Thank you!
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!

Starting with , first we move the curve by 1 unit to the left to give , as seen by

Next, we stretch it by a factor of 3, anchored still on the x-axis at (-1,0). Look at the graph here and note the y-intercept is now at y=3, instead of y=1:

Finally, we will move the whole curve up by 2 units, so that the vertex is now at (-1,2) and the y-intercept is at y=5:

jon.

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