solving parabola with x and y intercept

Im currently trying figure out how to graph a parabola given x and y intercept

function y = parshelter(x1,y1,x2,y2)

%where i need help%

end

---im trying to call it from another code ---

xstart=0

ystart=24

xend=10

yend=0

parshelter(xstart,ystart,xend,yend)

any help would be nice as ive been trying for hours now

(xstart,ystart) is the y intercept and (xend,yend) is a x intercept

[John D'Errico]

You can't. If you are asking what I think you are...

There are infinitely many parabola that pass through two points, an x-intercept, and a y-intercept. There is no unique solution.

If you want a unique solution, then a straight line will pass through the two points, AND a straight line is just a parabola with a zero quadratic coefficient. Think of the straight line as the simplest possible parabola, or if you prefer, a degenerate parabola.

[Jarrod]

(xstart,ystart) is the vertex does that help

Answer 1

[Jarrod]

function y = parshelter(x1,y1,x2,y2)

syms x

b=(( y2 - y1 )/( (x1^2) - (x2^2) ));

a=y1+b*x1^2;

y=a-b*x^2;

end

this does end up working from what i can tell