Question

Write the transformations, in different from the basic func f(x)=-(x-3)²+5

Answer 1

The given function is a transformation of the basic function f(x) = x². The transformations include right translation, reflection across the x-axis, and vertical shift.

Step-by-step explanation:

The given function is f(x) = -(x-3)² + 5.

The basic function is f(x) = x².

The transformations are as follows:

1. Translation of 3 units right: f(x) = -(x-3)² + 5.
2. Reflection across the x-axis: f(x) = -(-(x-3)² + 5).
3. Vertical shift of 5 units up: f(x) = -(-(x-3)² + 5) + 5.

So, the transformations in different form from the basic function f(x) = x² are: right translation of 3 units, reflection across the x-axis, and vertical shift of 5 units up.