Determine the x-intercept(s) of the function that translates the original function f(x) = x^2 down 4 units.
• x = -4 and x = 4
• x = -2 and x = 2
• There are no x-intercepts.
• x = -16 and x = 16
To find the x-intercepts of the translated function, we need to set the function equal to zero and solve for x.
The original function f(x) = x^2
The translated function is f(x) = x^2 - 4
Setting the translated function equal to zero:
x^2 - 4 = 0
x^2 = 4
x = ±√4
x = ±2
Therefore, the x-intercepts of the translated function are x = -2 and x = 2.
Therefore, the answer is:
• x = -2 and x = 2