How to find the x and y intercepts of a parabola?

We will use the concept of the general form of a parabola to find the x and y intercepts

Answer: The x-intercept is found by x = b + (a² / 4c) any y-intercept by y = a + (-4cb)^0.5

Let us see how we will use the concept of the general form of a parabola to find the x and y intercepts

Explanation:

Let us consider a general equation of parabola that is  (y - a)² =  4c(x - b)

We know that the y-intercept of any curve is the point where the x coordinates are 0.

Hence, using this concept we will find out the y-intercept of the parabola.

Keeping x = 0 we get that ,

(y - a)² =  -4cb

y = a + (-4cb)^0.5

Similarly, we know that the x-intercept is the point where y coordinates of the curve is 0.

Hence, keeping y = 0 in the general equation of the curve we get,

x = b + (a² / 4c)

Thus, the x-intercept is found by x = b + (a² / 4c) any y-intercept by y = a + (-4cb)^0.5