Question

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

Answer 1

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;

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

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.