6
QuizMultiple Choice

Relationships Between Quantities — Test

Question 6 • Mathematics III

Which statement is true about f of x is equal to negative 2 thirds start absolute value x plus 4 end absolute value minus 6 ?

Answer
A
The graph of f of x is a horizontal stretch of the graph of the parent function.
B
The graph of f of x opens upward.
C
The graph of f of x has a domain of x is less than or equal to negative 6 .
D
The graph of f of x has a vertex of open paren negative 4 comma 6 close paren .

Explanation

The parent function is y = |x|. A horizontal stretch by a factor of 3/2 changes it to |(2/3)x| = (2/3)|x|; reflecting it across the x-axis and shifting it left 4 and down 6 gives f(x). So the graph is a horizontal stretch of the parent function. Its vertex is (-4, -6), not (-4, 6).

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