SOLUTION: write the function f(x)= -5^2 + 4x -3 in the form k + a(x+h)^2 then (a) determine the maximum/minimum value of f(x) and (b) state the value of x when the maximum/minimum value occu

Algebra ->  Functions -> SOLUTION: write the function f(x)= -5^2 + 4x -3 in the form k + a(x+h)^2 then (a) determine the maximum/minimum value of f(x) and (b) state the value of x when the maximum/minimum value occu      Log On


   

Question 868307: write the function f(x)= -5^2 + 4x -3 in the form k + a(x+h)^2 then (a) determine the maximum/minimum value of f(x) and (b) state the value of x when the maximum/minimum value occurs
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=-5%28x%5E2-%284%2F5%29x%2B3%2F5%29
f%28x%29=-5%28x%5E2-%284%2F5%29x%2B%282%2F5%29%5E2%2B3%2F5-%282%2F5%29%5E2%29, completing the square
f%28x%29=-5%28%28x-2%2F5%29%5E2%2B%283%2F5-4%2F25%29%29
f%28x%29=-5%28%28x-2%2F5%29%5E2%2B%2815%2F25-4%2F25%29%29
f%28x%29=-5%28%28x-2%2F5%29%5E2%2B11%2F25%29
Distribute the factor over the sum.
highlight%28f%28x%29=-5%28x-2%2F5%29%5E2-11%2F5%29, in essence, in the form you wanted.

Question parts (a) and (b) are about the vertex.
Vertex is (2/5, -11/5).