Determine whether the graph of y=3+x^2 is symmetric with respect to the x-axis, the y-axis or the origin.

Hi Kimberly,

For this question first you need to take a set of values for 'x' so that you can plug in those values in the equation y = 3 + x^2 to find y.

Here are values I took for 'x' and computed values for 'y' based on them:

x -2, -1, 0, 1, 2

y 7, 4, 3, 4, 7

Now if you see, the values of y remain the same for the -2 and 2 and -1 and 1.

And if you plot all the values of x and y on the graph, it would result in a curve which is symmetric to 'y' axis.

Hope this helps! :)