Final answer:
When the parent function f(x) = x changes to g(x) = 5x + 7, the graph of g(x) becomes steeper and is shifted upward compared to the graph of f(x).
Step-by-step explanation:
The parent function, f(x) = x, is a linear function with a slope of 1 and a y-intercept of 0. When the parent function changes to g(x) = 5x + 7, the slope becomes 5 and the y-intercept becomes 7. This means that the graph of g(x) will be steeper and will be shifted upward compared to the graph of f(x).