Question

How does the graph of g (x) = StartFraction 1 Over x minus 5 EndFraction + 2 compare to the graph of the parent function f (x) = StartFraction 1 Over x EndFraction?

Answer 1

Answer:

g(x) is shifted 5 units to the right and 2 units up

Step-by-step explanation:

We know that the translations equation is:

f(x) = $\frac{a}{x-h}+k$

The denominator is responsible for the translation on the x-axis, and (k) is responsible for the translation on the y-axis.

Take that (x) is always lying, and lies about the positive and negative sign in the denominator. So whenever we see a sign we take its opposite. In this case we have :

$\frac{1}{x-5}+2$

Now that we know x is lying, we will take the translation of the denominator as 5 units to the right. After the fraction is over we have a +2, so we know that there is a translation of 2 units up.

Hope this helped......