Choose the equation form and enter the values of a, b, and c in the vertex form calculator to find vertex and y-intercept.
The vertex form calculator is used to find the vertex and y-intercept for a parabola. You can find the vertex for a standard quadratic form and vertex form of a parabola.
A vertex is the intersection point of the x and y coordinates of a parabola. It is the extremal point on its graph. It can be a minimum or maximum point.
The point is generally written as p(h,k). Here h is the x-coordinate and k is the y-coordinate.
Vertex is calculated from two types of equations: standard and vertex form.
h = -2b/a
k = c - b2/(4a)
(Alternatively, you can convert standard form into vertex form to identify the values.)
Simply identify h and k.
Find the vertex for the equation:
y = 3x2 + 2x + 5
Step 1: Complete the square:
y = x2 + 2x + 5
y - 5 + 1 = x2 + 2x +1 (Adding 1 to the both sides)
y - 4 = (x + 1)2
y = (x + 1)2 + 4
Now it is in vertex form.
Step 2: Identify h and k: