Question

Given f(x)=x^2, after Performing the following transformation: shift upward 86 units and shift 27 units to the right the new function g(x)=

Answer 1

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!!!