Reflection in y axis equation

Asked by maham237 @ in Mathematics viewed by 315 People

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 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

Answered by maham237 @


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}.

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

The base function is reflected across y-axis.

Hence, option B is correct.


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