SOLUTION: 1.f(x)=3x^-12x+4. What is the vertex and what is the of the line of symmetry nand what is the minimum or maximum of f(x). 2. give exact and approximate solutions to three decimal

 

Hi

Note: the vertex form of a parabola,  where(h,k) is the vertex

Completing the Square to put into the vertex form:

f(x)=3x^-12x+4 = 3[(x-2)^2 + 4] + 4 = 3(x-2)^2 + 16  V(2,16) a minimum point

x = 2,the line of symmetry



exact and approximate solutions to three decimal places: one example

  (x-2)^2 = 45   x = 2 ± sqrt(9*5) = 2 ± 3sqrt(5)  exact solutions

approxiamate solutions found easily using your calculator