Question

The graph of y = 3 over the sqaure root of x

is reflected over the y-axis and then translated down 2 units to form f(x). Which is the graph of f(x)

Answer 1

To find the graph of f(x) which is the reflection of y = 3 over the square root of x over the y-axis and translated down 2 units, we need to apply the transformations to the original graph.

Step-by-step explanation:

To find the graph of f(x) which is the reflection of y = \(\frac{3}{\sqrt{x}}\) over the y-axis and translated down 2 units, we need to apply the transformations to the original graph.

The reflection over the y-axis will change the sign of the x-values. So the equation becomes y = \(\frac{3}{\sqrt{-x}}\).

The translation down 2 units will change the y-values. So the equation becomes y-2 = \(\frac{3}{\sqrt{-x}}\) or y = \(\frac{3}{\sqrt{-x}} + 2\).