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mixer [17]
3 years ago
15

Which function in the vertex form is equivalent to f(x)=4+x2-2x

Mathematics
1 answer:
BabaBlast [244]3 years ago
4 0

f(x) = 4x - x² - 2x


Vertex form of a parabola: y = a(x - h)² + k where (h, k) is the vertex of this parabola


y = a.(x - h)² + k


y = -1.(x - h)² + k


Let's factor:


f(x) = -x² - 2x + 4

f(x) = -(x + 1)² + 1 + 4

f(x) = -(x + 1)² + 5


So we don't even need to find the vertex, we can just factor.

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