Question

Given f(x) = x², after performing the following transformations: shift upward 56 units and shift 23 units to the right, the new function g(x) is:

a) g(x) = (x - 23)² + 56
b) g(x) = (x + 23)² + 56
c) g(x) = (x - 23)² - 56
d) g(x) = (x + 23)² - 56

Answer 1

After shifting the function upward 56 units and to the right 23 units, the new function is g(x) = (x - 23)² + 56.

Step-by-step explanation:

To perform the given transformations on the function f(x) = x², first, we shift upward 56 units. The new function becomes f(x) + 56 = x² + 56. Then, we shift 23 units to the right, which gives us the final function g(x) = (x - 23)² + 56. Therefore, the correct option is d) g(x) = (x + 23)² - 56.