How do you find the axis of symmetry, graph and find the maximum or minimum value of the function #y=-x^2+6x-2#?
1 Answer
Jan 26, 2016
Maximum
Axis of symmetry
Explanation:
Given -
#y=-x^2+6x-2#
Vertex -
#x=(-b)/(2a)=(-6)/(2 xx (-1))=(-6)/(-2)=3#
#y=-(3)^2+6(3)-2=-9+18-2=18-11=7#
#(3, 7)#
Axis of symmetry -
#x=3#
How to graph?
After finding the vertex, take a few points on either side of
Find the corresponding y values.
Graph them
