How is the graph of the parent function, y = StartRoot x EndRoot transformed to produce the graph of y = StartRoot negative 2 x
EndRoot? It is translated horizontally by 2 units and reflected over the x-axis. It is translated horizontally by 2 units and reflected over the y-axis. It is horizontally compressed by a factor of 2 and reflected over the x-axis. It is horizontally compressed by a factor of 2 and reflected over the y-axis.
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Answer:
Option (B)
Step-by-step explanation:
The given question is incomplete; please refer to the attached document for the full details.
In the attached graph,
The parent function is defined as an absolute value function,
f(x) = |x|
When this graph is moved four units to the left, the translation rule becomes,
f(x) → f(x + 4)
Consequently, the new function following this translation is,
g(x) = f(x + 4) = |x + 4|
Now, with the graph shifted down by two units, the translated function becomes,
h(x) = g(x) - 2
h(x) = |x + 4| - 2
When reformulated as an equation, the graph can be represented by
⇒ y = |x + 4| - 2
Thus, Option (B) is the correct answer.
