Question

Which is the graph of y = log (negative x)?
On a coordinate plane, a curve starts at y = negative 3 and curves up into quadrant 1. It approaches y = 3.
On a coordinate plane, a curve starts at y = negative 2 and curves up into quadrant 2. It approaches y = 2 in quadrant 2.
On a coordinate plane, a curve starts at y = 3 and curves down into quadrant 4. It approaches y = negative 3 in quadrant 4.
On a coordinate plane, a curve starts at y = 4 and curves down into quadrant 3. It approaches y = negative 3 in quadrant 3.

Answer 1

y = log(−x) is defined only when −x > 0, i.e. x < 0. It's just the graph of y = log x reflected across the y‑axis.

Key features:
- Domain: x < 0 (graph lies entirely on the left side of the y‑axis).
- Vertical asymptote: x = 0 (as x → 0−, y → −∞).
- As x → −∞, y → +∞.
- Passes through (−1, 0).

So pick the picture that shows a logarithmic curve on the left side (quadrants II and III), crossing the x‑axis at x = −1 and approaching the y‑axis as a vertical asymptote. If none of your four descriptions show that, then none of them is the graph of y = log(−x).