Question

Analyze the graph below to identify the key features of the logarithmic function. The x-intercept is y = 2, and the graph approaches a vertical asymptote at y = 3.

The x-intercept is x = 2, and the graph approaches a vertical asymptote at x = 3.
The x-intercept is y= -2, and the graph approaches a vertical asymptote at y = -3.
The x-intercept is x = -2, and the graph approaches a vertical asymptote at x = -3.

Answer 1

D.The x-intercept is x = -2, and the graph approaches a vertical asymptote at x = -3.

Explanation:

Got it right on the test

Hope this helps :)

Answer 2

The x-intercept is x = -2, and the graph approaches a vertical asymptote at x = -3.

Explanation:

The given graph is a transformed logarithm function.

The graph is obtained by shifting the parent function three units left.

The vertical asymptote is now

`x = - 3`

The x-intercept is where the graph intersect the x-axis, which is x=-2

Therefore the last option is correct.