Question

If this is the graph of f(x)= a(x+h) +k, then:

Answer 1

By identifying the translations used, we will see that:

h < 0, k < 0.

What can we say about K and H?

Here the function is:

$f(x) = a^{(x + h)} + k$

Notice that when x tends to large negative values, like:

x → -∞

The first part of the function tends to zero. So we will have an horizontal asymptote that tends to the constant value of the function, which is K.

You can see that the asymptote is on the negative side, then we conclude that k < 0.

Also, you can see that the "curve" of the exponential growth is translated to the right. So this is a translation to the right of H units of the function:

$f(x) = a^x + K$

Then H must be negative.

Then we have:

K < 0, H < 0.

If you want to learn more about translations:

https://brainly.com/question/24850937

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