Which transformations of y = 2^x will produce the graph shown? a)reflect over the x-axis and shift 3 units right b)reflect over the x-axis and shift 3 units left c)reflect over the y-axis and shift 3 units right d)reflect over the y-axis and shift 3 units left

Reflect over the x-axis: When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed).All the output values change by k units. If k is positive, the graph will shift up. If k is negative, the graph will shift down.

Step-by-step explanation:

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2