If y=9((1)/(3))^(x)-4 is graphed in the xy-plane, which of the following characteristics of the graph is displayed as a constant or coefficient in the equation? Choose 1 answer: (A) y-intercept (B) x-intercept (C) Slope (D) The value y approaches as x increases

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Identify Constants and Coefficients: Analyze the given equation y=9((1)/(3))^(x)-4 to identify constants and coefficients. The equation is in the form y=A*B^(x) - C, where A is a coefficient, B is the base of the exponential function, and C is a constant.Find Y-Intercept: Identify the y-intercept from the equation. The y-intercept occurs when x=0. Plugging x=0 into the equation, we get y=9((1)/(3))^(0)-4, which simplifies to y=9(1)-4, and then to y=5. The y-intercept is the constant term in the equation that remains after the exponential part equals 1 (when x=0).Determine Constant Term Meaning: Determine which characteristic the constant term represents. The constant term -4 in the equation y=9((1)/(3))^(x)-4 represents the vertical shift of the graph, which is the value y approaches as x increases. This is because as x becomes very large, the term 9((1)/(3))^(x) approaches zero, and the graph approaches y=-4.Match with Options: Match the characteristic with the given options. The constant term -4 corresponds to the value y approaches as x increases, which is one of the given options.

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