Graph the equation fun?

Question

what would the vertex and points be for the following

y=2 l x-5 l + 3

what would the vertex and points be

Answer 1

y = 2|x - 5| + 3

Similar to a parabola, the general form of an absolute value function is

y = a|x - h| + k

and the vertex will be at (h, k).

Therefore, in our function, the vertex will be at (5, 3).

To graph this, do this in steps.
y = |x| {This is a "V" with the vertex at (0,0)}
y = 2|x| {This stretches the V vertically}
y = 2|x - 5| {This shifts the graph 5 units to the right}
y = 2|x - 5| + 3 {This shifts the graph 3 units up}

Answer 2

Vertex (5,3)

Answer 3

(3,7)
(4,5)
(5,3)=vertex
(6,5)
(7,7)