I need help with mathGraph each of the following functions. Find the vertex, y-intercept, and x-intercept(s). Plot at least five points, and be sure to show all of your work.f(x)=-5x^2-6

Given:
[tex]f(x)=-5x^2-6[/tex]To find the vertex, y-intercept, x-intercept(s), and to add at least five points to the graph, we first note that vertex is the lowest or the highest point of the graph. We also note that y-intercept is the point where the parabola crosses the y-axis, while x-intercept is the point at which the parabola crosses the x -axis.
We can also add at least five points by plugging in any values of x in the given equation to get a y value. The graph is shown below:
Graph:
Therefore, the answers are:
Vertex: (0,-6)
y-intercept: (0,-6)
x-intercept: None
Additional points: (1,-11),(-1,-11),(2,-26),(-2,-26),(1.5,-17.25)