SOLUTION: Find the coordinates of the vertex and the equation of the axis of symmetry of the graph of the eqution. y=6+4x-1/2 x squared

Question 79140This question is from textbook Algebra:Structure and Method
: Find the coordinates of the vertex and the equation of the axis of symmetry of the graph of the eqution. y=6+4x-1/2 x squared This question is from textbook Algebra:Structure and Method

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the coordinates of the vertex and the equation of the axis of symmetry of the graph of the eqution. y=6+4x-1/2 x squared
---------
Put the equation in vertex form:
-1/2 x^2 +4x = y-6
(-1/2)(x^2- 8x + 4^2) = y-6-(1/2)*16
(-1/2)(x-4)^2= y-14
Vertex at x=4,y=14
Axis of symmetry is x=4
-------------

==========
Cheers,
Stan H.

RELATED QUESTIONS
find the equation of the axis of symmetry and the coordinates of the vertex of the graph... (answered by stanbon)

find the axis of symmetry,vertex,y-intercept,and then graph... (answered by TimothyLamb)

find the equation of the axis of symmetry and the coordinates of the vertex of the graph... (answered by mathsteacher)

Graph the quadratic function. Indicate the vertex coordinates, the axis of symmetry line, (answered by ewatrrr)

Find the coordinates of the vertex and the equation of the axis of symmetry of the graph... (answered by scott8148)

f(x)= -2x^2+4x+1 Find the vertex and axis of symmetry of the graph of the... (answered by funmath)

what is the equation of the axis of symmetry, the coordinates of the vertex of the graph... (answered by Fombitz)

show me the axis of symmetry the vertex and graph Y= -2x^2+4x-1 (answered by EdenWolf)