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Graph the function y = 2.2 – |0.4x + 1|. What are the coordinates, to the nearest tenth, of the maximum of the graph? (2.5, 2.2) (–2.5, 2.2) (0, 3.2) (3.2, 0)

Respuesta :

looks like you already answered the question..;)

Answer:

vertex is (-2.5, 2.2)

Step-by-step explanation:

Graph the function y = 2.2 – |0.4x + 1|

the function can be written as

[tex]y=-|0.4x+1|+2.2[/tex]

Maximum of the graph lies at the vertex

LEts find out the vertex

The vertex form of the equation is [tex]y=|x-h| +k[/tex]

where (h,k) is the vertex

[tex]y=-|0.4x+1|+2.2[/tex]

[tex]0.4x+1=0[/tex] solve for x

Subtract 1 on both sides and then divide both sides by 0.4

[tex]0.4x=-1[/tex]

[tex]x=-2.5[/tex]

the value of h = -2.5  and the value of k= 2.2

So vertex is (-2.5, 2.2)