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

User Ralismark
by
8.6k points

2 Answers

1 vote
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
User Kaloer
by
8.0k points
5 votes
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=(-b)/(2a)=(-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).
User Sixtysticks
by
8.5k points

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