I plotted the equations for a circle and an ellipse on a graphing software like so:
Equations for the circle and ellipse
How do I manipulate the following functions such that I get exactly half of the ellipse which is towards the left of the y-axis and exactly half of the circle which is towards the right of the y-axis? If it is still unclear as to what I am trying to ask about, I have drawn (in black) the desired outcome that I want on the previous image of the graph. The image is underneath.
The function of the desired shape that I need help with
For reference -
Function for the circle: $x^2 + y^2 = 1$
Function for the ellipse: $\left(\frac{x^2}{2^2}\right)+\left(\frac{y^2}{1^2}\right)=1$
Side-note: Since I am not allowed to attach images directly, the images are embedded into the hyperlinks. Please be so kind as to take some trouble to open the hyperlinks and help me out with my problem. Any help is appreciated!
plug $$y^2=1-x^2$$ in the equation of the Ellipse, this means $$\frac{x^2}{4}+1-x^2=1$$