Questions: Graph the exponential function y=3^(x+2)

Graph the exponential function y=3^(x+2)
Transcript text: Graph the exponential function $y=3^{(x+2)}$
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the function

The given function is \( y = 3^{(x + 2)} \).

Step 2: Determine the transformation

The function \( y = 3^{(x + 2)} \) is an exponential function with a base of 3. The \( +2 \) inside the exponent indicates a horizontal shift to the left by 2 units.

Step 3: Analyze the graph behavior

For the function \( y = 3^{(x + 2)} \):

  • As \( x \) approaches negative infinity, \( y \) approaches 0.
  • As \( x \) increases, \( y \) increases exponentially.

Final Answer

The correct graph is the first one, which shows an exponential growth starting from the left and increasing rapidly as \( x \) increases.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 50.2% of American households still have landline phone service. We decide to randomly call eight households and ask if the home has a landline phone. Required: a-1. What is the random variable? The random variable is the count of the households that have a landline. a-2. How is the random variable distributed? The random variable follows a probability distribution.
failedAnswered
The inverse of matrix (A) is given. [ A^-1 = left[ beginarraylll 3 2 1 1 1 2 1 2 1 endarray right] ] Use the inverse to solve for (X). [ AX = left[ beginarrayr 3 -1 2 endarray right] . ] [ X = left[ beginarrayc endarray right] ]
failedAnswered
Find all complex solutions of 7x^2 + 7x + 3 = 0. (If there is more than one solution, separate them with commas.)
failedAnswered
Which of the following is not an example of a reaction requiring activation energy? - boiling water - photosynthesis - starting a car's engine - lighting a campfire In the equation 2 H2 + O2 → 2 H2O, what is the total number of hydrogen atoms on the reactant side? What is the purpose of the flame from a match in lighting a campfire?
failedAnswered
Balance the following equations and identify the type of reaction(4marks): - C2H6+O2 CO2+H2O 2 C2H6+7 O2 -> 4 CO2+6 H2O - Li+ O2 Li2O combustion 4 Li+O2 -> 2 Li2O synthesis - Al(NO3)3+SrCO3 Al2(CO3)3+Sr(NO3)2 2 Al(NO3)3+3 SrCO3 -> Al2(CO3)3+3 Sr(NO3)2 - NO2 NO+O2 Double displacement.