Question

Find the Vertex and the roots of each equation to the nearest hundredths by plotting it on Desmos

Answer 1

1a.

Desmos Graph >>>

The vertex is the lowest point of this graph.

Vertex = (-1, -3)

The roots of the equation are its x-intercepts. Looking at the graph, they are:

Roots = (-2.732, 0) and (0.732, 0)

1b.

The graph of the equation (in Desmos) >>>

The vertex is the highest point of this graph.

Vertex = (-0.667, 4.333)

The roots of the equation are its x-intercepts. Looking at the graph, they are:

Roots = (-1.869, 0) and (0.535, 0)