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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
What are the coordinates of the vertex for f(x) = x2 + 4x + 10?
Solution:
We have to find the coordinates of the vertex.
For any equation of the type y = ax2 + bx + c, the vertex is given by (h, k)
Where, h = -b/2a and k = (4ac - b2)/4a.
Given, the equation is y = x2 + 4x + 10
Here, a = 1, b = 4 and c = 10
So, h = -4/2(1)
h = -4/2
h = -2
4ac = 4(1)(10)
4ac = 40
So, k = [40 - (4)2]/4(1)
k = (40 - 16)/4
k = 24/4
k = 6
Therefore, the coordinates of the vertex is (h, k) = (-2, 6).
What are the coordinates of the vertex for f(x) = x2 + 4x + 10?
Summary:
The coordinates of the vertex for f(x) = x2 + 4x + 10 is (-2, 6).
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