Answer:
C
Explanation:
the general form of the absolute value function is
y = a | x - h | + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here (h, k ) = (2, 3 ) then
y = a | x - 2 | + 3
to find a substitute any other point on the graph into the equation
using (1, - 1 ) , then
- 1 = a | 1 - 2 | + 3
- 1 = a | - 1 | + 3
- 1 = a + 3 ( subtract 3 from both sides )
- 4 = a
then
f(x) = - 4 | x - 2 | + 3