The equation of the quadratic function represented by the graph is f(x) = (x - 1)² + 1
How to determine the equation of the quadratic function
From the question, we have the following parameters that can be used in our computation:
The graph of the quadratic function
Where, we have
No zeros
Vertex at, (h, k) = (1, 1)
The equation of the quadratic function is represented as
f(x) = a(x - h)² + k
Substitute the known values into the equation
f(x) = a(x - 1)² + 1
Using the points on the graph, we have
a(3 - 1)² + 1 = 5
4a = 4
a = 1
So, we have
f(x) = (x - 1)² + 1
Hence, the equation of the quadratic function is f(x) = (x - 1)² + 1