# How do you find the intercepts, asymptotes and graph y = 6(4^(2x))?

y-intercept is 6. x-axis is the asymptote and the the curve rises, from the limit 0 for $x \to - \infty$ to $+ \infty$ as x$\to + \infty$..
The exponential curve y = a ${b}^{x}$ curve, with a > 0, does not cross the x-axis and y > 0 for all x, a and b..The x-axis is the asymptote, in the positive or negative direction.
Here, $y = 6 \left({\left({4}^{2}\right)}^{x}\right) = 6 \left({16}^{x}\right)$.
The asymptote gets closer to x-axis, as $x \to - \infty$.