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

Vertical movement: Move up 3 units

or

Horizontal movement: Move left 3 units

Step-by-step explanation:

If your parent equation is and your child equation is , then it has vertically moved up 3 units.

If your parent equation is and your child equation is , then it has moved horizontally left 3 units.

Translation upwards of 3 units.

Step-by-step 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).

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.