conics
posted by Sandy on .
The graph of y=x^2 is reflected in the xaxis, then stretched vertically by a factor of 2, and then translated 3 units to the left and 1 unit down. I need to write the equation of this parabola in standard and general form. I have 4 other questions so could someone please show me all the steps involved so I can learn to do them. Please and thank you so much.

start with
y = x^2
"reflected in the xaxis" > y = x^2
"stretched vertically by a factor of 2 > y = 2x^2
"translated 3 units to the left, 1 unit down
> y = 2(x+3) 1