The quadratic function of the given graph is y = (x + 3)² + 8.
Quadratic function:
Basically, the standard form of the quadratic function is written as,
f(x) = a(x - h)² + k,
And a not equal to zero.
Here if a is positive, the graph opens upward, and if a is negative, then it opens downward. And the line of symmetry is the vertical line x = h, and the vertex is the point (h,k).
Given,
Here we have the graph and we have to find the quadratic function of the graph.
While we looking in to the given graph,
We have identified then the graph is opening the upward direction, So, the value of a is positive.
Now, we have to find the value of a which is 1.
And the vertex of the graph is (-3, 8).
So, the standard form of the quadratic function of the graph is written as,
=> y = (x + 3)² + 8.
To knw more about Quadratic function here.
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