The graph of the equation x=y2+4is symmetric with respect to which of the following

Mathematics

2 answers:

ycow [4]3 years ago

5 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.

lyudmila [28]3 years ago

3 0

Answer:

The x-axis

Step-by-step explanation:

The graph of the equation x=y2+4 is symmetric with respect to the x-axis.

To test for symmetry with respect to the x-axis we substitute -y in place of y and simplify the equation. If the resulting equation is identical to original one then the function is symmetric with respect to the x-axis;

$x=y^{2} +4\\x=(-y)^{2} +4\\x=y^{2} +4$