Question

The function f is defined by f(x)= - 1/2x^2
Write down the expression for h(x).

Answer 1

`h(x)=-\frac12(x-4)^2+3`

Explanation:

Given:

`f(x)= - \frac12x^2`

From inspection of the graph,
`f(x)` has been translated 4 units to the right and 3 units up.

Therefore,
`h(x)=f(x-4)+3`

`\implies h(x)=-\frac12(x-4)^2+3`