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A day full of math games & activities. Find one near you.
What are the coordinates of the vertex of the graph of the function y = -x2 + 6x - 11
Solution:
Given, f(x) = -x2 + 6x - 11
We have to find the vertex of the function.
To find the vertex of the function, we have to convert the given function in the form
f(x) = a(x - h)² + k ------------------ (1)
Where, (h, k) is the vertex.
Here, f(x) = -(x2 - 6x) - 11
f(x) = -(x2 - 2 × 3 × x + 3² -3²) - 11
f(x) = -(x - 3)² + 9 - 11
f(x) = -(x - 3)² - 2 --------------- (2)
Comparing (1) and (2),
h = 3
k = -2
So, (h,k) = (3, -2)
Therefore, the coordinates of the vertex is (3, -2).
What are the coordinates of the vertex of the graph of the function y = -x2 + 6x - 11
Summary:
The coordinates of the vertex of the graph of the function. f(x) = -x2 + 6x - 11 is (3, -2).
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