Question

If the graph of the function f defined by
f(x)= 3x^2+9
is translated vertically downward by 7 units, it becomes the graph of a function h.
Find the expression for h (x)

Answer 1

The +9 at the end of the equation tells you that the y-intercept is at (0,9). To move the equation downward, you can subtract 7 to change the y-int to (0,2) which would move the equation down 7 units. So h(x)=3x^2+2

Answer 2

Thank you :)