Question

(graph it wouldnt let me copy the image)

x|y
2|2
3|1
4|0
5|1
6|2

Which equation represents the graph
a- Y=|x|+4
b- Y=|x-4|
c- Y=|x|-4
d- Y=|x+4|

Answer 1

Unfortunately, I cannot see the graph you are referring to. However, I can use the given points to determine the equation of the line that passes through them.

Using the given points, we can see that the graph is symmetric about the x-value 3. Therefore, we know that the equation must contain the term (x - 3). Additionally, we can see that the graph has a maximum point at (2, 2) and (6, 2), and a minimum point at (3, 1). This suggests that the equation is a quadratic function that opens downwards.

Using this information, we can write the equation in vertex form as:

y = a(x - 3)^2 + 1

To find the value of a, we can substitute any of the given points into the equation. Let's use the point (5, 1):

1 = a(5 - 3)^2 + 1

0 = 4a

a = 0

Substituting a = 0 into the vertex form equation, we get:

y = (x - 3)^2 + 1

Therefore, the equation that represents the graph is y = (x - 3)^2 + 1.

Explanation: