Question

Describe how the graphs y=5x^2 and y=1/5^2 are similar or different?

Answer 1

The difference is that the first is a parabola and the second is a horizontal line; there really is not much similarity.

Explanation:

I can show you the graphs of those 2 expressions.

The graph of `y=5x^2` looks like this:
graph{ y=5*x^2 [-3, 3, -2, 10]}

I will expand the other function before graphing.

`y=1/5^2 = 0.04` The graph of this one looks like this:
graph{ y=0.04/x^0 [-3, 3, -0.1, 0.1]}

Note that because there is no x in this function, the graph is just a horizontal line elevated above the x axis by 0.04 units.

I hope this helps,
Steve