Question

when the function ( f(x)=cos x ) is reflected across the ( x )-axis, the resulting function is ( g(x)=-cos x ). if the coordinates of the ( y )-intercept of ( f(x)=cos x ) are ( (0,1) ), what are the coordinates of the ( y )-intercept of the reflected function ( g(x) )? (1 point)
( \bigcirc(-1,1) )
( \bigcirc(1,0) )
( \bigcirc(0,-1) )
( \bigcirc(-1,0) )

Explanation:

Step1: Find the y - intercept of \(g(x)\)

The y - intercept of a function \(y = h(x)\) is found by evaluating \(h(0)\).
For \(g(x)=-\cos x\), substitute \(x = 0\) into the function:
\(g(0)=-\cos(0)\)
Since \(\cos(0)=1\), then \(g(0)=- 1\)

Answer:

\((0,-1)\)