vertex formula

In this blog let us learn about vertex formula,this can be seen with the help of an example,

Example problem 1:

Determine the vertex of y = x² + 8x + 10 using the vertex formula method.

Solution:

The given function y = x² + 8x + 10 is compared to standard form y = ax² + b x + c, then we get

a = 1, b = 8 and c = 10.

Substitute a and b values in the x-coordinate of the vertex formula,

h = = = -4

Substitute the x-coordinate of the vertex value -4 into the function to get the y-value of the vertex.

y = x² + 8x + 10

y = (-4)² + 8(-4) + 10 = 16 – 32 + 10 = -6

So, the vertex of y = x² + 8x + 10 is (-4, -6).In the coming blogs we will also learn about binomial distribution and about mean symbol in detail.Hope you like the above example of vertex formula,please leave your comments if you have any doubts.