The inequality represented in the graph is y > 0.5(x + 2)^2 + 3
<h3>How to determine the inequality represented in the graph?</h3>
From the graph, we have the following points
Vertex: (h, k) = (-2, 3)
y-intercept: (0, y) = (0, 5)
A quadratic equation is represented as:
y = a(x - h)^2 + k
Substitute (h, k) = (-2, 3) in the equation
y = a(x + 2)^2 + 3
Substitute (0, y) = (0, 5) in the equation
5 = a(0 + 2)^2 + 3
This gives
5 = 4a + 3
Evaluate the like terms
4a = 2
Divide by 4
a = 0.5
Substitute a = 0.5 in y = a(x + 2)^2 + 3
y = 0.5(x + 2)^2 + 3
The inequality on the graph is >.
So, we have:
y > 0.5(x + 2)^2 + 3
Hence, the inequality represented in the graph is y > 0.5(x + 2)^2 + 3
Read more about inequalities at:
brainly.com/question/24372553
#SPJ1
