Question

The function fis defined as follows.

f(x)=x²-1
If the graph of fis translated vertically upward by 7 units, it becomes the graph of a function h.
Find the expression for h (x).

Answer 1

To translate f(x) up by 7 units, you need to add 7 to f(x):

h(x) = f(x) + 7

This is adding 7 to the y-values from f(x), which is why the "+7" is outside the f(x) notation.

h(x) = f(x) + 7

= x²-1 +7

= x² + 6