The graph of a quadratic function contains the points (1, 9), (0, 0), and (–1, 9). Shawn thinks the function f(x) = x2 was vertically stretched by a factor of 9. Brielle thinks the function f(x) = x2 was horizontally shrunk by a factor of 3. Determine who is correct and explain why

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Answer:

Sample Response: Both Shawn and Brielle are correct. The function that represents a vertical stretch by a factor of 9 is f(x) = 9x2. The function that represents a horizontal shrink by a factor of 3 is

f(x) = (3x)2, which is equal to f(x) = 9x2.

Additionally, if you wanted to verify that the given points are on the graph of both functions, you could substitute them into the functions to get true statements.

Step-by-step explanation: