Answer:
Cubic polynomial function with zeros 3,3 and -3 is
Step-by-step explanation:
We need to find a cubic polynomial function with zeros 3,3 and -3.
If zeros of polynomial are: 3,3,and -3
we can write:
x=3, x=3, x=-3
Or
We can write:
x-3=0, x-3=0, x+3=0
Now, we can write them as:
(x-3)(x-3)(x+3)=0
Multiplying the terms, we can find the polynomial:
So, cubic polynomial function with zeros 3,3 and -3 is
Answer:
Vertical shift of 3 units down ⇒ last answer
Step-by-step explanation:
* Lets revise the translation of a function
- If the function f(x) translated horizontally to the right
by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
* Lets solve the problem
∵ The parent function y = √x
∵ There is a translation by k = -3
- From the rules above k is for the vertical translation
∵ k = -3
- That means the parent function translated 3 units down
∴ The value of k = -3 makes the graph of the parent function translated
3 units down
- For more understand look to the attached graph
# y = √x ⇒ the red graph
# y = √x - 3 ⇒ the blue graph
