Question

If you shift the reciprocal parent function (F(x) = (1)(x)) down 2 units, what is the equation of the new function?

A) (G(x) = (1)(x - 2))
B) (G(x) = (2)(x))
C) (G(x) = (1)(x + 2))
D) (G(x) = (1)(x - 2))

Answer 1

The correct answer for the shifted reciprocal function down 2 units is G(x) = (1/x) - 2.

Step-by-step explanation:

If you shift the reciprocal parent function F(x) = \frac{1}{x} down 2 units, the equation of the new function would be G(x) = \frac{1}{x} - 2. This is because shifting a function up or down adds or subtracts directly from the output of the function. Therefore, each value of G(x) will be the reciprocal of x minus 2, reflecting the downwards shift.