which graph shows exponential growth?

Answer:

The graph of an exponential - growth function is of the form (y = a\cdot b^{x}), where (a>0) and (b > 1). It has a characteristic shape that starts out relatively flat for negative (x) - values and then increases rapidly as (x) increases. The given graph (a parabola (y=x^{2})) is not an exponential - growth graph. An exponential - growth graph would have a curve that gets steeper and steeper as (x) increases and passes through the point ((0,a)) (when (x = 0), (y=a\cdot b^{0}=a)). Since no other graphs are provided, we can't choose a correct one from the options given. But in general, an exponential - growth graph has a J - shaped curve.

Explanation:

Step1: Recall exponential - growth form

The general form of an exponential - growth function is (y=a\cdot b^{x}), (a>0,b > 1).

Step2: Analyze the given graph

The given graph is a parabola (y = x^{2}), which is a quadratic function, not an exponential - growth function.

Step3: Describe exponential - growth graph shape

An exponential - growth graph has a J - shaped curve, starting flat for negative (x) and increasing rapidly for positive (x).