Answer:
The graph of y2+3x=0 is symmetric with respect to the x-axis
Step-by-step explanation:
To establish symmetry with respect to the x-axis we simply substitute -y in place of y in the original equation. If the resulting equation is identical to the original one then the function is said to be symmetric with respect to the x-axis.
In this case we have;
Which is identical to the original equation
Given:
The graph of a function.
To find:
The function.
Solution:
From the given graph, it is clear that the graph intersect the x-axis at x=-4, -2, 1. It means -4, -2 and 1 are zeros of the given function graph.
If c is a zero of a function f(x), then (x-c) is a factor of f(x).
Using the above definition, we conclude that (x+4), (x+2) and (x-1) are the factors of given function. So,
Therefore, the correct option is A.
