Function and Graph

Answer : D

Suppose y = f(x)
y = f(x) ±  k  means  translate  upwards (+) /downwards (-) by k units.

y = f(x ± k) means translate leftwards (+)/ rightwards (+) by k units.
y = -f(x) means reflect about the x-axis.
y = f(-x) means reflect about the y-axis.
y = kf(x) means enlarge f(x) along the y-axis to k times the original if k > 1.
y = kf(x) means reduce f(x) along the y-axis to k times the original
if 0 < k < 1.

y = f(kx) means enlarge f(x) along the x-axis to 1/k times the original if 0 < k < 1.

y = f(kx) means reduce f(x) along the x-axis to 1/k times the original if k > 1.

Answer : C

When x increases, b^x and c^x  increase. However, b^x increases faster. Thus, b > c > 1.
Besides, we can see that when x increases, a^x decreases. Thus, 0 < a < 1
Hence, b > c > 1 > a > 0