Quadratics and Complex Numbers — Test

Question 4 • CMS 2026-2027 Foundations of Math 3 INITIAL CREDIT

Which represents the reflection of f of x is equal to square root of x over the y -axis?

Answer

Image with description A coordinate plane with a curve. The x and y axes are labeled form negative 10 to 10 in increments of 2. The curve begins at the point 0 comma 0 and extends toward the upper left, passing through the point negative 4 comma 2.

Image with description A coordinate plane with a curve. The x and y axes are labeled form negative 10 to 10. The curve begins at the point 0 comma 0 and extends toward the upper left, passing through the points negative 1, comma 1, negative 4 comma, 2, and negative 9 comma, 3.

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, 'negative 1'; Column 2, '1' Row 3: Column 1, '0'; Column 2, '0' Row 4: Column 1, '1'; Column 2, 'negative 1' Row 5: Column 1, '4'; Column 2, 'negative 2'

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, 'negative 1'; Column 2, 'undefined' Row 3: Column 1, '0'; Column 2, '0' Row 4: Column 1, '1'; Column 2, '1' Row 5: Column 1, '4'; Column 2, '2'

Explanation

Reflecting a graph across the y-axis changes each point [?]x[?] coordinate to its opposite, so the reflected function is √(-x). Its points include (0, 0), (-1, 1), (-4, 2), and (-9, 3), matching the graph in choice B. The reflected graph extends left from the origin because its domain is x ≤ 0.

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