Problem preview

F-BF.3 Warmup M3-019-A08-V04

Analyze graph transformations across radical, rational, exponential, logarithmic, and other functions; recognize even and odd functions.

Write an equation for a transformed parent function from key graph features

Problem

Write the standard-scale \(\text{base}-4\) logarithmic equation with vertical asymptote \(x~=~-2\) that passes through \((-1,~1)\).

Answer choices

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y = log₄(x + 2) - 1

y = log₄(x + 1) + 1

y = log₄(x + 2) + 1

y = log₄(x - 2) + 1

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Curriculum context

Course: Math III
Standard: F-BF.3
Category: Functions
Domain: Building Functions
Objective: Analyze graph transformations across radical, rational, exponential, logarithmic, and other functions; recognize even and odd functions.
Problem type: Write an equation for a transformed parent function from key graph features