3
QuizMultiple Choice

Functions and Transformations — Quiz

Question 3 • Precalculus

Which is the graph of y is equal to log sub 4 of open paren x plus 3 close paren ?

Answer
A
Image with description On a coordinate plane, a curve approaches x = negative 3 and curves up through (negative 2, 0) and goes through (1, 1).
B
Image with description On a coordinate plane, a curve starts at (0, 0) and curves up through (1, 3) and goes through (4, 4).

Explanation

For y = log₄(x + 3), the logarithm’s input must be positive, so the graph has a vertical asymptote at x = −3. Setting y = 0 gives x + 3 = 1, so the graph passes through (−2, 0); setting y = 1 gives x + 3 = 4, so it passes through (1, 1). These features match choice A.

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