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Charra [1.4K]
2 years ago
5

What are the coordinates of the vertex for f(x) = 2x2 + 4x + 9?

Mathematics
2 answers:
Blizzard [7]2 years ago
8 0
Vertex: (-1,7)
Focus: (-1, 57 over 8)
Axis of Symmetry(AOS): x=-1
Directories: y= 55 over 8
X , Y
-3 , 15
-2 , 9
-1 , 7
0 , 9
1 , 5
Vlada [557]2 years ago
5 0
Your equation f(x)=2x^2+4x+9 is in the form y=ax^2+bx+c
The vertex only relies on "a" and "b" though, so that +9 doesn't really matter in this case.  The vertex of a parabola is located where 
x=\frac{-b}{2a}=\frac{-4}{2(2)}=-1
So your x-coordinate is -1.  You need to find f(-1) to find your y-coordinate, and then you list it in the form (-1, y).
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Answer:

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= 30 +2(d-1) minutes

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on first day he will spend 30 minutes so, I added 30 .

and on every additional day( these additional days are excluding first day), he will increase the time by 2 minutes.so, I added 2(d-1) to initial 30 minutes)

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