Work out intercepts of a graph instantly with clear inputs, formula shown and shareable results.
The y-intercept is found by setting x = 0, which simply gives c. The x-intercepts are the roots, found by setting y = 0 and solving the quadratic; the discriminant decides how many there are.
y-intercept
set x = 0, giving y = c
x-intercepts
set y = 0, giving x = (−b ± √(b² − 4ac)) / (2a)
The y-intercept is 2, and the x-intercepts are 1 and 2.
Yes. A negative discriminant means no real roots, so the curve lies entirely above or below the axis.