Question

PLS HELP OMG I CANT FIND IT

Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
Fix)
X
0-9
10
k= -3
k = 3
k = 5
k = 8

graph below pls help

Answer 1

(d) k = 8

Explanation:

The value k in the equation ...

g(x) = f(x) +k

represents a vertical translation by k units.

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The vertex coordinates for f(x) and g(x) are ...

f(x): vertex = (-3, -3)

g(x): vertex = (-3, 5)

This means ...

f(-3) = -3

g(-3) = 5 = f(-3) +k = -3 +8 ⇒ k = 8

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Additional comment

Translations of various kinds are often most easily seen by comparing points where the graph has a distinctive feature. On this graph, that is the vertex.