Question

F(X)=X^(2),Vertical Dilation By A Factor Of 3, Translation 2 Units Right And 3 Units Down

Answer 1

The transformed function is f(x) = 3(x - 2)² - 3, representing a vertical dilation by a factor of 3, a translation 2 units to the right, and 3 units down from the original function f(x) = x².

Step-by-step explanation:

To apply a vertical dilation by a factor of 3 to the function f(x) = x², we multiply the function by 3, resulting in the new function f(x) = 3x².

To translate the function 2 units right and 3 units down, we replace x with (x - 2) and subtract 3 from the entire function, resulting in the transformed function f(x) = 3(x - 2)² - 3.

This new function represents the vertically dilated and translated version of the original function.