document.write( "Question 30502: sketch the graph of $\"y=2%2B3%28x%2B1%29%5E2\"$ , not by plotting points but by starting with $\"g=x%5E2\"$ and using translations. Describe the steps you take in getting the graph of y. Thank you! \n" ); document.write( "

Algebra.Com's Answer #17183 by longjonsilver(2297) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"y=2%2B3%28x%2B1%29%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( "Starting with $\"y=x%5E2\"$ , first we move the curve by 1 unit to the left to give $\"y=%28x%2B1%29%5E2\"$ , as seen by $\"+graph%28300%2C300%2C-4%2C3%2C-4%2C10%2C%28x%2B1%29%5E2%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( "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: $\"+graph%28300%2C300%2C-4%2C3%2C-4%2C10%2C3%28x%2B1%29%5E2%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( "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: $\"+graph%28300%2C300%2C-4%2C3%2C-4%2C10%2C2%2B3%28x%2B1%29%5E2%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( "jon.
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