Sovi AI

問題

解法ステップ

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 $f(x)$.

答え

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 $f(x)$.

関連トピック

関連問題

• use an area model to solve 31 × 26. multiply in the area model.

  Top-left cell: 180 Top-right cell: 6 Bottom-left cell: 600 Bottom-right cell: 20 Final product: 806

• 6. solve each equation. write each solution as a fraction and as a deci…

  | Equation | Solution (Fraction) | Solution (Decimal) | |----------|---------------------|--------------------| | $2x=3$ | $\frac{3}{2}$ | $1.5$ | | $5y=3$ | $\frac{3}{5}$ | $0.6$…

• Ok

  - Fila 2: Circular el par (5, 2). - Fila 3: Circular el par (3, 3) (o la tarjeta con 3 y la otra con 4 dibujos, pero los números son 3 y 3? Wait, la tercera fila: primera tarjeta …

• How do you solve pemdas

  It's basically just a checklist so you don't get mixed up when a math problem has a bunch of stuff going on at once. You just go down the list in order: 1. **P**arentheses: Do any…

• which number line models $-1 + (-14)$? add. $-1 + (-14) = \\square$

  \(-15\)

• 11 et 12

  The initial number of bacteria is 5. ### Turn 2 Answer Ça marche, regardons ça ! On dirait que tu es en plein dans les maths financières. Pour le **numéro 11**, on cherche le taux…

• listenconsider this system of equations.$\begin{cases} y=3x-3 \\ y=x^2-…

  1. For the line $y=3x-3$: plot points $(0, -3)$ and $(1, 0)$, then connect them. 2. For the parabola $y=x^2-2x-3$: plot vertex $(1, -4)$ and y-intercept $(0, -3)$, then sketch the…

• 6.1 hw (ha2)savvas realizesavvas realizesavvasrealize.com/dashboard/cla…

  E. All real numbers

Sovi AI iOS

公式サイトは mysovi.ai。問題ページは question-banks.mysovi.ai で配信。iOS アプリは Apple App Store で提供。