How do you write f(x)=2x2+6x into vertex form?
1 Answer
May 4, 2017
y=2(x+1.5)2−4.5
Explanation:
Given -
y=2x2+6x
First, find the vertex
Find
x=−b2a=−62×2=−64=−1.5
Findy coordinat of the vertex
y=2(−1.5)2+6(−1.5)
y=2(2.25)−9
y=4.5−9=−4.5
Vertex
The vertex form of the parabola is -
y=a(x−h)2−k
Where -
a=2 the coefficient ofx2
h=−1.5 this isx coordinate of the vertex
k=−4.5 this isy coordinate of the vertex
Substitute these values.
y=2(x−(−1.5))2+(−4.5)
y=2(x+1.5)2−4.5
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