Warm-up

The graph of the function \(y=\dfrac{1}{x^2}\) is stretched as shown in this diagram.

A graph of y equals 1 over x squared, then shown stretched by a scale factor b in each of the x and y directions

If the graph is stretched by a factor of \(b\) in the \(x\)-direction (as shown), what is the equation of the resulting graph?

And if, instead, the original graph is stretched by a factor of \(c\) in the \(y\)-direction, what is the equation of the resulting graph?