Graph function g f(x)=(x-1)^2-5 g(x)=f(x+2)
1 answer:
9514 1404 393
Answer:
C (see below)
Step-by-step explanation:
The function f(x) is written in vertex form:
f(x) = a(x -h)^2 +k . . . . . scale factor 'a', vertex (h, k)
The vertex of function f(x) is (1, -5).
The function g(x) = f(x +2) represents a shift left by 2 units. When the vertex of f(x) is shifted left 2 units, it becomes (1-2, -5) = (-1, -5).
The graph with the vertex in this location is the third problem attachment, shown below.
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Answer:
Step-by-step explanation:
In this graph, we have the coordinate point (). Without translations, cos(0) = 0, which means that the graph is shifted to the right by
. We also know that the graph is shifted down by 1 because we have the point
(), but accounting for the right shift, this point should really by (
). cos(
) = -1, but on the graph it is -2, meaning that it is shifted down by 1.
Therefore, accounting for the right shift by and the shift down by 1, our equation is
.
