Question

Write an equation for a function that has a graph with the given characteristics.

The shape of y = 1/x shifted left 6 units.

Answer 1

We have been given the parent function as y=\frac{1}{x}.

We need to write the equation when the graph of this function is shifted left by 6 units.

We know the rule that when we add a constant "c" to the x value of the parent function then the graph will shift left by 'c' units.

Here the parent function is shifted left by 6 units. Hence, we must add 6 to the x.

Therefore, the equation of the parent function becomes

$y=\frac{1}{x+6}$