The function h is defined as follows. h(x)=3x^2+1. If the graph of h is translated vertically downwards by 7 units, it becomes the graph of a function g. Find the expression for g(x).

Answer 1

To move the graph down, you subtract 7

so

3x^2+1-7 = 3x^2 - 6

May I suggest to go to the website desmos dot com and graph the two functions

y = 3x^2 + 1

and

y = 3x^2 - 6

you will see they are 7 units apart