Answer:
The graph of g(x) is the graph of f(x) moved down 4 units.
Step-by-step explanation:
Subtracting a function by a constant:
Subtracting a function by a constant x is the same as moving the function down x units.
In this question:
Thus, the graph of g(x) is the graph of f(x) moved down 4 units.
For this case we have the following function:
To find the zeros of the function we make and solve for "x", then:
We multiply by -1 on both sides of the equation:
We factor the equation, for this we look for two numbers that, when multiplied, result in 36 and when added, result in -13. These numbers are -9 and -4.
Thus, the factored equation is:
Therefore, the roots are:
Answer: