Question

Which graph shows exponential growth?

On a coordinate plane, a parabola opens up with vertex at (0, 0).
On a coordinate plane, a curve approaches y = 0 in quadrant 2 and curves up into quadrant 1.
On a coordinate plane, a straight line with positive slope crosses the y-axis at (negative 1, 0) and crosses the y-axis at (2, 0).
On a coordinate plane a curve opens down and to the right in quadrants 1 and 4. It crosses the x-axis at (1, 0).

Answer 1

The second graph.

Reason: an exponential growth curve (y = a^x, a > 1) has a horizontal asymptote y = 0 as x → −∞ (approaches 0 in quadrant II) and rises steeply in quadrant I. The others are a parabola (quadratic), a straight line (linear), and a logarithmic-type curve (crosses at (1,0)).