Question 1117218: Write a formula for a function with a graph that has three xx-intercepts, (-3, 0), (1, 0), and (4, 0).
The equation for a cubic graph like this was given to me as y=a(x-h)^3+k
a=stretch factor
h=move graph left/right
k=move graph up/down
I don't know how to find the equation with those three x intercepts.
Answer by ikleyn(52778)   (Show Source):
You can put this solution on YOUR website! .
There is some mix-up in your understanding and in your input.
What they want from you is to find (to write an equation for) the function which has zeroes at assigned points x= -3, x= 1 and x= 4.
The simplest function which has the assigned zeroes (roots), is the third degree polynomial
f(x) = (x-(-3))*(x-1)*(x-4).
It is constructed as the product of linear binomials, associated with the given zeroes.
In more simple form it is
f(x) = (x+3)*(x-1)*(x-4).
You can further to make distributive multiplication and open parentheses, if you want or if you need.
Solved.
|
|
|
