Because I am plotting the curve on a graphing calculator, I have to change the subject of the following equation to y.
x=0.07(y+3)^2-4.7
I got:
y=((x+4.7)/0.07)^0.5-3
But now the line is cut off because y≥-3. I can't get the same line! :( Is it even possible? Thanks a bunch for your help! :)
The manipulation seems fine, but we lost solutions by retaining only the positive square root of both sides of $$(x-4.7)/0.07=(y+3)^2.$$ We need to use two functions together to account for all solutions. We include both $$\sqrt{(x+4.7)/0.07}=y+3 \qquad\text{and}\qquad \sqrt{(x+4.7)/0.07}=-(y+3)$$ which simplify to $$y=\sqrt{(x+4.7)/0.07}-3 \qquad\text{and}\qquad y=-\sqrt{(x+4.7)/0.07}-3.$$