An parabola is drawn on a coordinate plane. Both axes range from negative 5 to 5 in one-unit increments.

Given the graph of the function f(x)
, complete the following table of the points for the horizontally reflected function f(−x)
.

(2 points)
x −1
−2
−3
f(−x)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
yesterday

To find the values of the function \( f(-x) \), we need to reflect the values of \( f(x) \) across the y-axis. This means that for each value of \( x \), we will find the corresponding \( f(-x) \).

To complete the table, we need the values of \( f(x) \) for \( x = -1, -2, -3 \):

  • For \( x = -1 \), \( f(-(-1)) = f(1) \)
  • For \( x = -2 \), \( f(-(-2)) = f(2) \)
  • For \( x = -3 \), \( f(-(-3)) = f(3) \)

If we had the values of \( f(1) \), \( f(2) \), and \( f(3) \), we could fill out the table.

However, since you have not provided specific values for \( f(x) \), I can't provide the exact values for \( f(-x) \) at those points.

If you have those values, please provide them, and I will help you complete the table! Otherwise, you can use the points from the graph you have to fill in your table accordingly.