Question

Which represents the reflection of f(x) = StartRoot x EndRoot over the y-axis?

A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, 1, 2.
A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, negative 1, negative 2.
On a coordinate plane, an absolute value graph starts at (0, 0) and goes to the left through (negative 4, 2).
On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 2, 4).

Answer 1

Reflecting f(x)=√x across the y-axis gives g(x)=f(−x)=√(−x), with domain x ≤ 0. So the graph is the square-root curve starting at (0,0) and going left; it passes through (−4,2).

Therefore the correct choice is: "On a coordinate plane, an absolute value graph starts at (0, 0) and goes to the left through (−4, 2)." (This is the left-facing √-curve option.)