What are the effect of changing the values of h and k in the equation #y=2^(x-h)+k#?

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Answer 1 · 2018-01-10T17:46:07

See below.

Using:

#y=2^(x-h)+k#

For:

#x-h#

When #h>0# this causes a translation of #h# units in the positive #x# direction.

When #h<0# this causes a translation of #h# units in the negative #x# direction.

For #k#

When #k>0# this causes a translation of #k# units in the positive #y# direction.
.

When #k<0# this causes a translation of #k# units in the negative #y# direction.

Graphs of: #y=2^(x-h)+k#

When #h=0 and k=0#

When #h=2 and k=2#

When #h=-2 and k=-2#

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