SOLUTION: Create a graph showing a quadratic function that is increasing from (-∞,5) and decreasing from (5,∞).

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Create a graph showing a quadratic function that is increasing from (-∞,5) and decreasing from (5,∞).      Log On


   

Question 871369: Create a graph showing a quadratic function that is increasing from (-∞,5) and decreasing from (5,∞).
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
graph%28300%2C300%2C-1%2C9%2C-45%2C5%2C-%28x-5%29%5E2%29 is the graph of y=-%28x-5%29%5E2
We can move the graph up:
graph%28300%2C300%2C-1%2C9%2C-5%2C45%2C-%28x-5%29%5E2%2B40%29 is the graph of y=-%28x-5%29%5E2%2B40
We can make the increase and decrease steeper:
graph%28300%2C300%2C-1%2C9%2C-55%2C45%2C-10%28x-5%29%5E2%2B40%29 is the graph of y=-10%28x-5%29%5E2%2B40
We can move the graph down , and/or make the increase and decrease less steep,
but it should always have a maximum at x=5 .