SOLUTION: 1.For each quadratic function, state: direction of opening, vertex, equation of axis of symmetry, coordinates of maximum or minimum and domain and range.
(a)y=-2x^2-3
Question 322171: 1.For each quadratic function, state: direction of opening, vertex, equation of axis of symmetry, coordinates of maximum or minimum and domain and range.
(a)y=-2x^2-3 Answer by solver91311(24713) (Show Source):
There is no 1st degree term, so the vertex is the -axis. Therefore the value of the -coordinate of the vertex is 0 and the value of the function when is zero is , hence the vertex is at the point .
The axis of symmetry is the vertical line passing through the vertex. The equation of any vertical line is where is the -coordinate of any point on the line. Since we know the vertex is on the line and we have already determined that the -coordinate of the vertex is 0...
The parabola opens upward, so the vertex is a minimum.
The domain of any polynomial function with real-valued coefficients is the set of real numbers.
