The quadratic equation is written as y = 2*(x - 3)² + 3
Let's find the equation:
A quadratic equation with a leading coefficient a and a vertex (h, k) is written as:
y = a*(x - h)² + k
In the image we can see that the vertex is at (3, 3), then we will get:
y = a*(x - 3)² + 3
In the graph we can also see the pair (5, 11), replacing these values we will get:
11 = a*(5 - 3)² + 3
11 = a*4 + 3
11 - 3 = a*4
8 = a*4
8/4 = a
2 = a
The equation is:
y = 2*(x - 3)² + 3