If the function y= x^2 −4
is reflected about the origin, which of the following is true regarding the number of x-intercepts of the reflected function?
Hint: Sketch a graph of the function y= x^2 −4
, then sketch a graph of the function reflected about the origin.
Option #1: 0 x-intercepts
Option #2: 1 x-intercept
Option #3: 2 x-intercepts
(1 point)
since y= x^2 −4 has two x-intercepts, the reflection of y through the origin is -((-x)^2 - 4) = 4-x^2, which also has two x-intercepts.
Apologies for the confusion. You are right. The correct answer is:
Option #3: 2 x-intercepts