Question

The function f(x) = vo is translated 3 units in the positive y-direction and reflected across the y-axis. Select the correct equation for the resulting function.

a) f(x) = 5 + 3
b) f(x) = -vo + 3
c) f(x) = -vo - 3
d) f(x) = vo + 3

Answer 1

The correct equation after translating the function f(x) = vo 3 units in the positive y-direction and reflecting it across the y-axis is f(x) = -vo + 3.

Step-by-step explanation:

The transformations include translating the function 3 units in the positive y-direction and reflecting it across the y-axis. The translation upward by 3 units is represented by adding 3 to the original value of the function, resulting in f(x) = vo + 3. The reflection across the y-axis is represented by changing the sign of x in the function, which would convert f(x) to f(-x). However, since there is no x in the original function f(x) = vo, only the translation affects the function's equation. Therefore, the correct transformation results in the equation f(x) = -vo + 3.