The expression for h(x) in terms of x is h(x) = (x - 2)^3 + 4
How to write an expression for h(x) in terms of x?
The equation of the function f(x) is given as;
f(x) = (x + 2)^3 - 3
From the graph of the functions, we have the following transformations:
- Translate f(x) up by 7 units
- Translate f(x) right by 4 units
The rule of the above transformations is
(x, y) = (x - 4, y + 7)
This means that
h(x) = f(x - 4) + 7
So, we have:
f(x - 4) = (x - 4 + 2)^3 - 3 + 7
Evaluate the sum and the difference
f(x - 4) = (x - 2)^3 + 4
Rewrite as
h(x) = (x - 2)^3 + 4
Hence, the expression for h(x) in terms of x is h(x) = (x - 2)^3 + 4
Read more about transformation at:
brainly.com/question/4289712
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