Ask Question
11 October, 23:40

The exponential function f (x) = 2 * undergoes two transformations to

g (x) = 3 • 2x + 5. How does the graph change? Select all that apply.

+4
Answers (1)
  1. 11 October, 23:56
    0
    Option (d) and (e) is correct.

    Graph is shifted down and vertically stretched

    Step-by-step explanation:

    Given : The exponential function f (x) = 2^x undergoes two transformations to g (x) = 5/cdot 2^x-3

    We have to choose the how the graph changes.

    Consider the given exponential function f (x) = 2^x.

    Vertically compressed or stretched

    For a graph y = f (x),

    A vertically compression (stretched) of a graph is compressing the graph toward x - axis.

    • if k > 1, then the graph y = k• f (x), the graph will be vertically stretched by multiplying each y coordinate by k.

    • if 0 < k < 1 if 0 < k < 1, the graph is f (x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.

    • if k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.

    Here, k = 5

    So the graph will be vertically stretched

    Also, Adding 3 to the graph will move the graph 3 units down so, the graph is shifted down.

    So, The graph is shifted down.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The exponential function f (x) = 2 * undergoes two transformations to g (x) = 3 • 2x + 5. How does the graph change? Select all that apply. ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers