Question

which graph represents the logarithmic function?
y = \log(12x + 2) - 2

Explanation:

Step1: Find the y - intercept

The y - intercept occurs when \(x = 0\).
Substitute \(x=0\) into the function \(y=\log(12x + 2)-2\):
\(y=\log(12\times0 + 2)-2=\log(2)-2\approx0.301 - 2=-1.699\approx - 1.7\)

Step2: Analyze the two graphs

• For the first graph, when \(x = 0\), \(y\approx2\)
• For the second graph, when \(x = 0\), \(y\approx-1.7\)

Answer:

The second graph.