Question

The graph of y2+3x=0 is symmetric with respect to which axis?

Answer 1

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;

$y^{2} +3x=0\\(-y)^{2} +3x=0\\y^{2} +3x=0$

Which is identical to the original equation

Answer 2

Answer:

The correct answer is option A) The x axis

Step-by-step explanation:

If a function is symmetric with respect to the x-axis, then f (x) = - f (x). The following graph is symmetric with respect to the y-axis (x = 0). Note that if (x, y) is a point on the graph, then (- x, y) is also a point on the graph. As we can see from the attached graph it shows the same phenomenon