Answer:
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
