Answer:
(-3, 2)
Step-by-step explanation:
There are two methods on finding the vertex. The one I will be using is the faster version.
y=2x^{2}+12x+20
a=2 b=12 c=20
First use the formula -b/2a.
-(12)/2(2)=
=-12/4=-3
-3 is the x-coordinate.
Plug in -3 into the equation for x.
y=2(-3)^{2}+12(-3)+20
y=2(9)+12(-3)+20
y=18-36+20
y=2
The y-coordinate is 2
Use (x, y) for the vertex.
x=-3
y=2
The vertex is (-3, 2)
Hope this helps!
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