SOLUTION: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function. f(x)= 2^2-12x+20 The vertex is? Line of symmetry is? Max/Mini va

Question 617459: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function.
f(x)= 2^2-12x+20
The vertex is?
Line of symmetry is?
Max/Mini value is?
The value, f(3)=2 is? Max or Min?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function.
f(x)= 2x^2-12x+20 (I assume you forgot the x in the lead term)
The vertex is?
Line of symmetry is?
Max/Mini value is?
The value, f(3)=2 is? Max or Min?
**
y=2x^2-12x+20
complete the square
y=2(x^2-6x+9)+20-18
y=2(x-3)^2+2
This is an equation of a parabola that opens upwards.
Its standard form: y=(x-h)^2+k, (h,k)=(x,y) coordinates of vertex.
For given equation:
vertex: (3,2)
line or axis of symmetry: x=3
f(3)=2 is min
see graph below:

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