# Fun House Mirror

Algebra Level 2

Given the graph $$y = \ln x$$, which of these statements describes the transformations to get the graph of $$y = \ln (4x^2 + 4x + 1)$$ for $$x > - \frac{1}{2}$$?

$$\quad \text{(1)}$$ Translate to the left by 1 and up by $$\ln 4$$, then scale vertically by 2.

$$\quad \text{(2)}$$ Translate to the left by $$\frac{1}{2}$$ and up by $$\ln 2$$, then scale vertically by 2.

$$\quad \text{(3)}$$ Translate to the left by 1 and up by $$\ln 2$$, then scale vertically by 2.

$$\quad \text{(4)}$$ Translate to the left by $$\frac{1}{2}$$ and up by $$\ln 4$$, then scale vertically by 2.

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