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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.

User Martinlabs
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Answer:

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.

Two exponential functions, f(x) and g(x), are graphed on the same coordinate plane-example-1
User Matthias Kuhn
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