Identify a reflection about the x-axis or a reflection about the y-axis of f(x) = √-x by observing the equation of the function

Question

2 years ago

6

g(x) = √x.
A) The base graph has been reflected about the x-axis

B) The base graph has been reflected about the y-axis

1 answer:

olga55 [171] · Answer 1 · 2022-02-14T14:37:22+03:00

Answer:

B) The base graph has been reflected about the y-axis

Step-by-step explanation:

We are given the function, $f(x)=\sqrt{-x}$ .

Now, as we know,

The new function after transformation is $g(x)=f(-x)=\sqrt{x}$ .

<em>As, the function f(x) is changing to g(x) = f(-x)</em> and from the graph below, we see that,

The base function is reflected across y-axis.

Hence, option B is correct.