graph the parabola.\n\nplot five points on the parabola: the vertex, two points to the left of the vertex…

graph the parabola.\n\nplot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. then click on the graph - a - function button.

graph the parabola.\n\nplot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. then click on the graph - a - function button.

Answer

Explanation:

Step1: Find the vertex

For the parabola (y = -x^{2}), the vertex form is (y=a(x - h)^{2}+k). Here (h = 0,k = 0,a=-1). So the vertex is ((0,0)).

Step2: Find points to the left of the vertex

Let (x=-1), then (y=-(-1)^{2}=-1), the point is ((-1,-1)). Let (x = - 2), then (y=-(-2)^{2}=-4), the point is ((-2,-4)).

Step3: Find points to the right of the vertex

Let (x = 1), then (y=-(1)^{2}=-1), the point is ((1,-1)). Let (x=2), then (y=-(2)^{2}=-4), the point is ((2,-4)).

Answer:

The five points are ((0,0),(-1,-1),(-2,-4),(1,-1),(2,-4))