Question 1175361
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Original graph: y = x^2<br>
{{{graph(400,200,-20,10,-5,25,x^2)}}}<br>
Stretch vertically by a factor of 3: the y value gets multiplied by 3: y = 3x^2<br>
{{{graph(400,200,-20,10,-5,25,x^2,3x^2)}}}<br>
Stretch horizontally by a factor of 5: to get a horizontal stretch of 5, the x value has to be DIVIDED by 5: y = 3(x/5)^2<br>
{{{graph(400,200,-20,10,-5,25,x^2,3x^2,3(x/5)^2)}}}<br>
Translated left 12: replace "x" with "x+12": y = 3((x+12)/5)^2<br>
{{{graph(400,200,-20,10,-5,25,x^2,3x^2,3(x/5)^2,3((x+12)/5)^2)}}}<br>
ANSWER: The final equation is<br>
y = 3((x+12)/5)^2<br>