Question

Create a function with using transformations.
opens down, shifts up 3 units and shrinks by 1/4

Answer 1

f(x) = -0.25(x - 3)

This function involves two transformations:

Opens down: The negative sign in front of the function indicates that it opens downward.
Shifts up 3 units: The "+3" inside the function means that the entire graph has been shifted upward by 3 units.
Shrinks by 1/4: The coefficient of "0.25" in front of the parentheses means that the graph has been compressed vertically by a factor of 1/4.
The resulting graph will have its vertex at (3, 0), and will be narrower and shorter than the original function f(x) = x.