Answer:
y =|x + 2| + 3
Explanation:
If you look at the graph, when x = -2, y = 3
So we have
y = |x + 2| + ?
3 = |-2 + 2| + ?
3 = ?
So the graph equation is
y =|x + 2| + 3
We can verify this by taking 2 other points on the graph and checking if our equation is consistent
At x = 0, we see that y = 5
Does this fit with our equation?
Substituting for x
==> y = |0 + 2| + 3 = 2 + 3 = 5
So our equation verifies with the data on the graph
Take another point on the graph with a negative x value
Let's check the point x = -5. From the graph we see that y = 6
Plug in x value into our function and see what value of y we get
y = |-5 + 2| + 3
y = |-3| + 3
Absolute value is always positive so |-3| = 3
y = 3 + 3 = 6
So it is consistent for point (-5, 6)