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

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Answer 1 · 2018-01-10T17:46:07

See below.

Using:

$y = 2^{x - h} + k$ $y=2^(x-h)+k$

For:

$x - h$ $x-h$

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

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

For $k$ $k$

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

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

Graphs of: $y = 2^{x - h} + k$ $y=2^(x-h)+k$

When $h = 0 and k = 0$ $h=0 and k=0$

When $h = 2 and k = 2$ $h=2 and k=2$

When $h = - 2 and k = - 2$ $h=-2 and k=-2$

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