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hich function has a range of {y|y ≤ 5}? f(x) = (x – 4)2 + 5 f(x) = –(x – 4)2 + 5 f(x) = (x – 5)2 + 4 f(x) = –(x – 5)2 + 4

Respuesta :

kudzordzifrancis

Answer:

[tex]f(x)=-(x-4)^2+5[/tex]

Step-by-step explanation:

The function [tex]f(x)=-(x-4)^2+5[/tex] has  the vertex at [tex](4,5)[/tex].


Since [tex]a=-1\:<\:0[/tex], the graph of the function is a maximum graph.


The highest y-value is the y-coordinate of the vertex which is 5.


Therefore the range is {[tex]y|y\le 5[/tex]}


Therefore the correct answer is B.


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