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.

Both Shawn and Brielle are correct. The function that represents a vertical stretch by a factor of 9 is f(x)=9×2.The function that represents a horizontal shrink by a factor of 3 is: f(x)=(3x)2, which is equal to f(x)=9×2.

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.

dbello6743 dbello6743 · Answer 2 · 2025-03-29T04:46:46-04:00

Answer:

Both Shawn and Brielle are correct. The absolute value parent function is symmetric with respect to the y-axis, and the absolute value of negative x is a reflection across the y-axis, so the graph of these two functions would look identical. 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:

Sample Answer of Edge 2021

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.

Answer :

Other Questions

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.