SOLUTION: Please help me solve this problem: Graph the polynomial function, showing x and y intercepts, and end behavior of the function f(x)=(x-2)(x+4)^2

Algebra ->  Algebra  -> Graphs -> SOLUTION: Please help me solve this problem: Graph the polynomial function, showing x and y intercepts, and end behavior of the function f(x)=(x-2)(x+4)^2      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 63742: Please help me solve this problem:
Graph the polynomial function, showing x and y intercepts, and end behavior of the function
f(x)=(x-2)(x+4)^2
Answer by sarahschober(35) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: PLOT any graph
Graphing function %28x-2%29%28%28x%2B4%29%5E2%29:

graph%28+300%2C+300%2C+-10%2C+10%2C+-40%2C+10%2C+%28x-2%29%28%28x%2B4%29%5E2%29+%29

It will cross the x axis for odd multiplicities and touch for even.
Example: (x-2) is odd because even though it is not shown it is raised to the power of one which is odd and
%28x%2B4%29%5E2is even because it is raised to an even power.
To find the y intercept substitute 0 for x.
y+=%280-2%29%280%2B4%29%5E2
y=-2%284%29%5E2
y=-32