Question 1100969
Find the x-coordinate of the vertex.
-b/2a = x-coordinate of vertex


y = x² + 16x + 74
a = 1, b = 16, c = 74


-b
--- = -16/2(1) = -8
2a


x-coordinate of vertex is -8


Find the y-coordinate of the vertex by substituting -8 in for x.


y = (-8)² + 16(-8) + 74   {substituted -8 in for x}
y = 64 - 128 + 74 {evaluated exponent and multiplied}
y = 10   {added and subtracted}


Vertex is (-8,10)


Vertex form is y = a(x - h)² + k
(h,k) are the coordinates of the vertex.


y = (x - 8)² + 10   {substituted vertex into vertex form}
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