SOLUTION: fx=3x squared -18x+4 find the vector, the line of symmetry and max. I have tried every thing from foil to factoring.

Question 190693: fx=3x squared -18x+4 find the vector, the line of symmetry and max. I have tried every thing from foil to factoring.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!

.
Everything you need to know about vertex form can be found at:
http://www.mathwarehouse.com/geometry/parabola/standard-and-vertex-form.php
.
f(x)=3x^2 -18x+4
Group the x terms:
f(x) = (3x^2 -18x) + 4
Factor out a 3:
f(x) = 3(x^2 -6x) + 4
Complete the square:
f(x) = 3(x^2 -6x + ___ ) + 4
f(x) = 3(x^2 -6x + 9 ) + 4 - 18
f(x) = 3(x+3)^2 - 14
.
Vertex: (-3,-14)
Axis of symmetry: x= (-b)/(2a) = (18)/(2*3) = 3
x = 3
Max: Since the coefficient associated with the x^2 term is POSITIVE -- you will have a MINIMUM not a maximum. Minimum is at -14.

RELATED QUESTIONS
find the vetex, line of symmetry and min/max value for: f(x)= -3 (x-7)^2 +... (answered by stanbon)

Find the vertex, line of symmetry, the max/min value of the quadratic function and graph... (answered by solver91311)

Please help me solve this equation: Multiply. (2x^2+4x-5)(x^2+3x+3)... (answered by mukhopadhyay,mbarugel)

x = (3x-5) 2 4 I have tried every thing and cant figure it out... (answered by ichudov)

√128x^12y^4 I have tried every... (answered by ewatrrr)

Show that vector n [2, 4, 6] is perpendicular to every vector on the plane: 2x + 4y + 6z (answered by Fombitz)

how to find the equation of line of symmetry for y=9-8x-x^2 i have tried by using the... (answered by ichudov)

(I have used the tiny ` characters to space and preserve formatting)... (answered by stanbon)

I have some factoring problems.. I have solved some, but the others just dont work.... (answered by stanbon,nyc_function,akc)