How do you find the axis of symmetry, and the maximum or minimum value of the function f(x)=x^2 -2x -15?
2 Answers
Axis of symmetry
Minimum value
Explanation:
The parabola opens upward and so this function has a minimum value.
To solve for the minimum value we solve for the vertex.
so that
Vertex
Vertex
The minimum value of the function is
Kindly see the graph of
graph{(y-x^2+2x+15)(y+1000x-1000)=0[-36,36,-18,18]}
God bless ....I hope the explanation is useful.
Axis of symetry
Value of the function
Explanation:
Given -
y=x^2-2x-15
Find Axis of symetry.
x=(-2b)/(2a)=(-(-2))/(2 xx 1)=2/2=1
Axis of symetry
Maximum of Minimum Values
dy/dx=2x-2
(d^2y)/(dx^2)=2
dy/dx=0 =>2x-2=0
x=2/2=1
At
Hence there is a minimum at
Value of the function
y=1^2-2(1)-15
y=1-2-15=-16