Question

The parabola rises and falls in quadrant 4. The curve passes through left parenthesis 0.4 comma negative 5 right parenthesis, left parenthesis 1 comma negative 2 right parenthesis, peaks at vertex left parenthesis 2 comma 0 right parenthesis, descends through left parenthesis 3 comma negative 2 right parenthesis, and left parenthesis 3.6 comma negative 5 right parenthesis. All values are approximate.

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

(2 points)
The table presents values for the function f(−x) corresponding to negative values of x, with missing entries that need to be completed.
x −1
−2
−3

f(−x)

Answer 1

Use f(-x) at x = a equals f(-a).

- For x = −1: f(−(−1)) = f(1) = −2.
- For x = −2: f(−(−2)) = f(2) = 0.
- For x = −3: f(−(−3)) = f(3) = −2.

So the f(−x) values are: −2, 0, −2.