The graph of both functions are positive, thus the graph is increasing in the upward direction.
The graph of a quadratic equation.
The graph of a quadratic equation is a parabolic curve or a U-shaped curve. From the given function, the parent function is f(x) = x² and the g(x) is the transformed function of the original function.
The function of g(x) = 5x² - 2 is vertically stretch by 5 units and it is shifted vertically downward by 2 units.
Thus, we can say that the graph of g(x) = 5x² - 2 is related to f(x) = x² because of the vertical stretch and the vertical shift. Also, since both functions are positive, the graph is increasing in the upward direction.