Which graph represents the function f(x) = (x – 5)2 + 3?

Given,

This depicts a quadratic (a vertically oriented parabola) opening upwards.

The vertex represents a minimum point—therefore, the vertex is located at

The domain covers all real numbers, indicated by the interval (-∞, ∞)

The range starts from 3 and extends to infinity, hence the interval is [3, ∞)

The axis of symmetry corresponds to the x-coordinate of the vertex

thus,

the axis of symmetry equals

Consequently,

please find the answer in the accompanying image