What is the vertex of the function #f( x ) = - 5x ^ { 2} + x + 3#?

1 Answer
Oct 19, 2017

Vertex is at #(0.1,3.05)#

Explanation:

#f(x)= -5x^2+x+3 = -5(x^2-0.2x)+3# or

#f(x)= -5(x^2-0.2x +0.1^2)+0.5+3# or

#f(x)= -5(x- 0.1)^2+3.05#. This is vertex form of equation.

Comparing with standard vertex form of equation

# f(x)=a(x-h)^2+k ; (h,k)# being vertex we find here

#h= 0.1 , k=3.05 :.# Vertex is at #(0.1,3.05)# [Ans]