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
Answer:
The top graph
Solutions:
-2
0
Step-by-step explanation:
The given quadratic function in factored form is
This is a parabola that has x-intercepts at (-2,0) and (2,0)
This parabola opens downward because the leading coefficient is less than 1.
The second function is
This is an absolute value function with vertex at (-2,0).
Therefore the graph that shows the solution to f(x)=g(x) is the top graph.
Hence the solution is x=-2,x=0