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

Mathematics

2 answers:

scoundrel [369]3 years ago

4 0

<h2>Answer:</h2>

<u>The correct answer is option </u><u>A) The x axis</u>

<h2>Step-by-step explanation:</h2>

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

natta225 [31]3 years ago

3 0

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;

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