The function f (x) = x (squared) is similar to: g (x) = - 3 (x-5) (squared) + 4. Describe the transformations. Show Graphs

Parent function f (x) is inverted, stretched vertically by 1 : 3, shifted 5 units right and 4 units upwards to form new function g (x).

Step-by-step explanation:

The parent function graphed is f (x) = x²

This graph when inverted (parabola opening down) function becomes

g (x) = - x²

Further stretched vertically by a scale factor of 1:3 then new function becomes as g (x) = - 3x²

Then we shift this function by 5 units to the right function will be

g (x) = - 3 (x - 5) ²

At last we shift it 4 units vertically up then function becomes as

g (x) = - 3 (x - 5) ² + 4