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
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)