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解題步驟

1. Understand the question

   6.1 hw (ha2) (lms graded)
   describe how the graph of $g(x)=6\\cdot2^{x+1}-4$ compares to the graph of $f(x)=6\\cdot2^{x}$.
   the graph of $g(x)$ is shifted □ unit(s) □, and □ unit(s) to the □ of $f(x)$.

2. Explanation

   Step1: Identify horizontal shift

   For exponential functions, $f(x-h)$ shifts $f(x)$ right $h$ units. Rewrite $g(x)$: $g(x)=6\cdot2^{(x-(-1))}-4$, so $h=-1$. Shift left 1 unit.

   Step2: Identify vertical shift

   For functions, $f(x)-k$ shifts $f(x)$ down $k$ units. Here, $g(x)=f(x+1)-4$, so shift down 4 units.

3. Final answer

   The graph of $g(x)$ is shifted 4 units down and 1 unit(s) to the left of $f(x)$.

答案

Question Analysis

OCR Text

6.1 hw (ha2) (lms graded)
describe how the graph of $g(x)=6\\cdot2^{x+1}-4$ compares to the graph of $f(x)=6\\cdot2^{x}$.
the graph of $g(x)$ is shifted □ unit(s) □, and □ unit(s) to the □ of $f(x)$.

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