Question

Use the image to answer the question.

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

f(-x) = f(-(-1)) = f(1) = -2
f(-x) = f(-(-2)) = f(2) = 0
f(-x) = f(-(-3)) = f(3) = -2

So the completed table:
x | f(−x)
-1 | -2
-2 | 0
-3 | -2