When the function f(x)=cosx is reflected across the x-axis, the resulting function is g(x)=−cosx. If the coordinates of the y-intercept off(x)=cosx are (0,1), what are the coordinates of the y-intercept of the reflected function g(x)?(1 point)

Question

When the function f(x)=cosx is reflected across the x-axis, the resulting function is g(x)=−cosx. If the coordinates of the y-intercept off(x)=cosx are (0,1), what are the coordinates of the y-intercept of the reflected function g(x)?(1 point)

Responses

(−1,1)
left parenthesis negative 1 comma 1 right parenthesis

(1,0)
left parenthesis 1 comma 0 right parenthesis

(−1,0)
left parenthesis negative 1 comma 0 right parenthesis

(0,−1)

Answer 1

The y-intercept of the function f(x) = cos(x) is at (0, 1). When this function is reflected across the x-axis, the y-values are negated. Therefore, the y-intercept of the reflected function g(x) = -cos(x) is (0, -1).

So the correct answer is (0, -1).