Answer
g(x) = (x - 27)² + 86
Step-by-step explanation
When a function f(x) is translated horizontally along the x-axis by a units, the new function is represented as
f(x + a) when the translation is by a units to the left.
f(x - a) when the translation is by a units to the right.
When a function f(x) is translated vertically along the y-axis by b units, the new function is represented as
f(x) + b when the translation is by b units upwards.
f(x) - b when the translation is by b units downwards.
f(x) = x²
86 units upwards
f(x) + 86 = x² + 86
27 units to the right
f(x - 27) + 86 = (x - 27)² + 86
Hope this Helps!!!