Question

Two exponential functions, f(x) and g(x), are graphed on the same coordinate plane. Graph of f of x equals 2 to the x power going through points 0 comma 1 and 1 comma 2 and graph of g of x equals 2 to the x power plus 4 going through points 0 comma 5 and 1 comma 6. What effect does adding 4 to the parent function have on the transformed function? a Adding 4 to the parent function shifts the function down four units. b Adding 4 to the parent function shifts the function up four units. c Adding 4 to the parent function shifts the function right four units. d Adding 4 to the parent function shifts the function left four units.

Answer 1

b Adding 4 to the parent function shifts the function up four units.

Explanation:

The original function is y(x) = 2^x

Adding four is y(x) = 2^x + 4

We've simply told y to take whatever value is generated for x and add four to it.

So the new value for the same x would have 4 added to y: (x,y+4),

Point (1,2) would shift to point (1,6).

Adding four to the parent function will shift the entire graph up by 4. See ate attached graph.