To apply the rule for reflecting a function across the x-axis, you need to negate the entire function. This means that if a function is given as \( f(x) \), then its reflection \( g(x) \) will be defined by:
\[ g(x) = -f(x) \]
Given the function \( f(x) = -2x + 1 \), we can calculate the reflection across the x-axis:
\[ g(x) = -(-2x + 1) = 2x - 1 \]
Now, let's match this with the provided options:
a. \( g(x) = - (2x - 1) \)
b. \( g(x) = 2x - 1 \)
c. \( g(x) = -2x - 1 \)
d. \( g(x) = 2x + 1 \)
The correct choice is:
b. \( g(x) = 2x - 1 \).
1 answer