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

Question

asked Dec 10, 2023 148k views

1 Answer

Deubaka · Answer 1 · 2023-12-16T10:56:57+0000

Answer:

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

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

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