SOLUTION: How to solve and graph y+2x²-4x-6=0 Axis of symmetry: Vertex: y-intercept: Max. or min. Domain: Range:

Algebra ->  Graphs -> SOLUTION: How to solve and graph y+2x²-4x-6=0 Axis of symmetry: Vertex: y-intercept: Max. or min. Domain: Range:      Log On


   

Question 1023134: How to solve and graph y+2x²-4x-6=0
Axis of symmetry:
Vertex:
y-intercept:
Max. or min.
Domain:
Range:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for y in terms of x; and complete the square to put into standard form. Read some answers from the finished equation. Intercepts follow, but solving for that on y-axis.


y=-2x%5E2%2B4x%2B6
y=-2%28x%5E2-2x-3%29
y=-2%28x%5E2-2x%2B1-1-3%29
y=-2%28x%5E2-2x%2B1-4%29
y=-2%28%28x-1%29%5E2-4%29
highlight%28y=-2%28x-1%29%5E2%2B8%29-----standard form

Parabola opens downward and vertex is a maximum.

Vertex: (1,8).
Symmetry Axis: x=1
y-intercept, by letting x be 0: (0,6).
x-intercepts, by let y be 0 and solve for x: (-1,0) and (3,0).
Domain: All Real Numbers
Range: Real Numbers less than or equal to 8.