Question

Question #ed439

Answer 1

graph{x^2+4 [-5, 5, 0, 10]}

Explanation:

choose a few arbitrary value for x and solve the equation and put points in (x,y) format in cartesian coordinates. Then combine them.

give x=0 to find at which point graph intercepts y axis,
if exists, try to find roots of the equation in order to get at which point(s) graph intercepts x axis. Note that graph may not intercept x axis...

Suppose that your equation is
`g(x)=ax^2+bx+c`
to find if it intercepts x axis, calculate `Delta`
`Delta = b^2-4ac`

if `Delta < 0` then graph doesn't intercept x axis;

if `Delta>0` then graph intercepts x axis at following 2 points:

`x1 =(-b-sqrt(Delta))/(2a)`

`x2 =(-b+sqrt(Delta))/(2a)`

if `Delta = 0` then graph intercepts x axis at 1 point:
`x=-b/(2a)`