Find the coordinates of the vertex for parabola defined by

villane0

villane0

Answered question

2021-12-03

Find the coordinates of the vertex for parabola defined by the given quadratic function.
f(x)=2x28x+3

Answer & Explanation

Roger Noah

Roger Noah

Beginner2021-12-04Added 17 answers

Write first the given:
f(x)=2x28x+3
We know that the standard form of the quadratic equation is given by:
f(x)=a(xh)2+k
Since the given is not in standard form, we can use b2a to find x-coordinates and plug x to the given for y-coordinates
f(x)=2x28x+3
=(8)2(2)
x=2
Plugging x to find y
f(x)=2x28x+3
=2(2)28(2)+3
=8-16+3
y=-5
Since x=2 and y=-5, thus vertex is (2,-5)
Result:
The vertex of the parabola is (2,-5)

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