SOLUTION: What is the equation of the axis of symmetry of the graph y=4x^2-5x+16

Question 853683: What is the equation of the axis of symmetry of the graph y=4x^2-5x+16
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
More than one way to find it; although both are based on Completing the Square.
One way is find the two roots using general solution to a quadratic equation. The axis of symmetry for this equation will be in the exact middle of the two roots.

Discriminant: 25-4*4*16=-231=-3*7*11

, the zeros or roots.
The exact middle is the AVERAGE of those.
-

-----The i*sqrt(231) was ommitted because sum of the positive and negative of the expression will be zero.
Axis of Symmetry:
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

What is the equation of the axis of symmetry of the graph y=4x^2-5x+16

Axis of symmetry or x-coordinate of vertex =
With a being , and b being: , axis of symmetry or x-coordinate of vertex is:
, or , or
You can do the check!!
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