Determine the x-intercept(s) of the function that translates the original function f(x)=x2 down 4 units.(1 point) Responses
x=−4 and x=4
There are no x-intercepts.
x=−2 and x=2
2 x=−16 and x=16
3.464 and x equals 3.464
The x-intercepts of the original function f(x) = x^2 are when y (or f(x)) is equal to zero.
To find the x-intercepts of the translated function that is moved down 4 units, we need to find when f(x) - 4 = 0.
Setting f(x) - 4 = 0, we have x^2 - 4 = 0.
Factoring the equation: (x - 2)(x + 2) = 0.
Setting each factor equal to zero:
x - 2 = 0, x = 2.
x + 2 = 0, x = -2.
Therefore, the x-intercepts of the translated function are x = -2 and x = 2.