If the function f(x)=(x−3)^2 -5 is reflected horizontally across the y-axis, how does the reflection affect the point (2,−4) ?(1 point) Responses In the horizonal reflection, the point (2,−4) becomes (−2,−4) In the horizonal reflection, the point open paren 2 comma negative 4 close paren becomes open paren negative 2 comma negative 4 close paren In the horizonal reflection, the point (2,−4) becomes (−4,2) In the horizonal reflection, the point open paren 2 comma negative 4 close paren becomes open paren negative 4 comma 2 close paren In the horizonal reflection, the point (2,−4) becomes (2,4) In the horizonal reflection, the point open paren 2 comma negative 4 close paren becomes open paren 2 comma 4 close paren In the horizonal reflection, the point (2,−4) becomes (−2,4)
1 answer
When a point \((x, y)\) is reflected horizontally across the y-axis, its x-coordinate changes sign while its y-coordinate remains the same.
For the point \((2, -4)\):
Therefore, the reflected point is \((-2, -4)\).
So the correct response is: In the horizontal reflection, the point (2,−4) becomes (−2,−4).
