Question

How is the graph of y=4(2)^x+3 translated from the graph of y=4(2)^x

Answer 1

Translation upwards of 3 units.

Explanation:

The + 3 moves the whole graph up 3 units.

f(x) ---> f(x) + 3.

( I have assumed that The + 3 is not part of the exponent).

Answer 2

Vertical movement: Move up 3 units

or

Horizontal movement: Move left 3 units

Explanation:

If your parent equation is
`f(x) = 4(2)^(x)` and your child equation is
`f(x) = 4(2)^(x) + 3`, then it has vertically moved up 3 units.

If your parent equation is
`f(x) = 4(2)^(x)` and your child equation is
`f(x) = 4(2)^(x+3)`, then it has moved horizontally left 3 units.