SOLUTION: y+4x^2=0 decide wheter the graph of the equation opens up or down. then find the coordinates of the vertex

Question 422555: y+4x^2=0
decide wheter the graph of the equation opens up or down. then find the coordinates of the vertex
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

........compare with the general quadratic equation

Here, , , and
Substitute and in the equation of axis of symmetry,

so, the equation of the axis of symmetry for this parabola is
Since the equation for the axis of symmetry is lies on the axis, the for the vertex is .
Substitute in the given equation

The coordinates of are (0, 0).
The coefficient of is negative, therefore the vertex is a maximum and
the graph of the equation opens down.

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