Question - Transformation of Exponential Function
mathvertical stretchreflection across x-axisexponential function transformationnegative exponent function
Solution:
To solve this problem, we'll consider the transformations required step by step.The given function is f(x) = 5^x, and we are asked to apply the following transformations:1. Vertical stretch by a factor of 2.2. Reflection across the x-axis.1. A vertical stretch by a factor of 2 will multiply the function by 2. This does not affect the exponent, so the new function after this transformation will be:h(x) = 2 * f(x) = 2 * 5^x2. A reflection across the x-axis means we need to take the negative of the function. So the final function after this reflection will be:g(x) = -h(x) = -2 * 5^xThis matches option B: g(x) = -2(5^x).
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