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 have the same shape, but the graph of g(x) = 5x^2 is vertically stretched by a factor of 5 compared to the graph of f(x) = x^2.

answer choices

The graph of g is narrower than the graph of f
The graph of g is wider then the graph of f
The graph ofg is 5 units below the graph of f
The graph of g is 5 units above the graph of f

The graph of g is narrower than the graph of f.