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anonymous
 one year ago
In the standard form of the absolute value function, f(x) = ax − h + k, what is the significance of coefficient a?
(A)It determines which point will be the vertex of the graph.
(B)It determines whether the graph is Vshaped, Ushaped, or a straight line.
(C)It determines the distance of the vertex from the xaxis.
(D)It determines the width of the graph.
anonymous
 one year ago
In the standard form of the absolute value function, f(x) = ax − h + k, what is the significance of coefficient a? (A)It determines which point will be the vertex of the graph. (B)It determines whether the graph is Vshaped, Ushaped, or a straight line. (C)It determines the distance of the vertex from the xaxis. (D)It determines the width of the graph.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0For the moment u can eliminate A and C

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The problem with that is the function can never be U shaped, it can be a line and a V however

marinos
 one year ago
Best ResponseYou've already chosen the best response.0The answer is (B) and (D). The vertex of the graph of the absolute value function \[f(x)=axh+k\] is the point \[(h,k)\] and hence the he distance of the vertex from the xaxis is equal to \[h\] Neither of these depend on the value of \[a\], therefore we can eliminate choices (A) and (C). Now, depending on the sign of \[a\], the graph is Vshaped if \[a>0\], Λshaped if \[a>0\] and a straight (horizontal) line if \[a=0\] Interpreting Λshape as an "upsidedown" Vshape, choice (B) is correct. (Note that the graph can never be Ushaped; however choice (B) is still valid, since we can have no values of the coefficient determining the Ushape, which is vacuously true.) Finally, the "width" of the graph in the case of the standard form of the) absolute value function makes sense only in comparison with the "width" of the graph of another absolute value function. We can normalize the notion of "width" with respect to the (simple) absolute value function \[y=x\] Thus, compared to the width of the latter, the graph of \[f(x)\] is wider if \[a>1\], narrower if \[a<1\] or has the same width if \[a=1\] Therefore, choice (D) is a correct answer.
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