SOLUTION: find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function. f(x)=3x^2-18x+24

Question 473477: find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
f(x)=3x^2-18x+24
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
f(x)=3x^2-18x+24
**
f(x)=3x^2-18x+24
completing the square
f(x)=3(x^2-6x+9)+24-27
f(x)=3(x-3)^2-3
This is a parabola of the standard form: A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex. Positive leading coefficient means parabola open upwards, has a minimum.
For given parabola:
vertex: (3,-3)
line of symmetry: x=3
Minimum: -3
see graph below as a visual check on answers:
..

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