Question

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)

Answer 1

looks like you already answered the question..;)

Answer 2

vertex is (-2.5, 2.2)

Explanation:

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

the function can be written as

`y=-|0.4x+1|+2.2`

Maximum of the graph lies at the vertex

LEts find out the vertex

The vertex form of the equation is
`y=|x-h| +k`

where (h,k) is the vertex

`y=-|0.4x+1|+2.2`

`0.4x+1=0` solve for x

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

`0.4x=-1`

`x=-2.5`

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

So vertex is (-2.5, 2.2)