SOLUTION: Given the function f(x)=-2(x+6)²+14 complete the following. Please show all of your work. (1)If ,fx=14 what is x ? (2)What point(s) from part (i) are on the graph of f? (3)Li

Algebra ->  Functions -> SOLUTION: Given the function f(x)=-2(x+6)²+14 complete the following. Please show all of your work. (1)If ,fx=14 what is x ? (2)What point(s) from part (i) are on the graph of f? (3)Li      Log On


   

Question 464434: Given the function f(x)=-2(x+6)²+14 complete the following. Please show all of your work.
(1)If ,fx=14 what is x ?
(2)What point(s) from part (i) are on the graph of f?
(3)List the x-intercepts, if any, of the graph of f.
(4)List the y-intercept, if there is one, of the graph of f.


Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
1.








2. f(-6) = 14, so (-6, 14).

3. Set f(x) equal to 0:







, so x intercepts are and

4. Replace x with 0 to find the y-intercept.

, y-intercept is (0,-58). Note that polynomial functions are defined everywhere so the conditional "if there is one" is meaningless, all polynomial functions will have a y-intercept.