The graph of `f\left(x\right)=x^{2}`is shown on the grid. Which statement about the relationship between the graph of `f`and the graph of `g(x)=5x^{2}` is true?

Both graphs will have the same shape, but the graph of `g(x)=5x^{2}` will be vertically stretched compared to the graph of `f(x)=x^{2}`, with the scale factor of 5.