Functions
Functions
Allen Star Batch
Grade 12

Question:

The graph of the function $f(x) = \frac{9x+7}{3x+12}$ is symmetric to the point:
$(-4, 3)$
$(-3, 4)$
$(3, 4)$
$(-3, -4)$

Step-by-Step Solution

Key Concept: Converting to standard form reveals the geometric nature and key features of a conic section.
The given graph can be rewritten as $(y-3)(x+4) = -\frac{29}{3}$, representing a rectangular hyperbola with center at $(-4, 3)$.
Correct Answer: 1

Master Functions with Mathbee

Practice this topic under real exam conditions with strict timers, or ask our AI Mentor to explain the concepts step-by-step.

Start Practicing for Free