Question

What numbers go in the boxes?

Answer 1

For second one

Vertex is (-3,0)

• Axis of symmetry=x=-3

There is only one x intercepts

• Only one real root is -3

Answer 2

Answer:

vertex = (-3, 0)

axis of symmetry: x = -3

one real root at x = -3

Step-by-step explanation:

The vertex is the turning point of the curve (so the maximum point for parabolas that open downwards, and the minimum point for parabolas that open upwards)

The axis of symmetry is the vertical line that goes through the vertex of a parabola.  So this will be the line of the x-value of the vertex.

The roots of a parabola are the points where the curve intersects (or touches) the x-axis.  

First graph

vertex = (3, -4)

axis of symmetry: x = 3

roots: x = 1, 5

Second graph

vertex = (-3, 0)

axis of symmetry: x = -3

one real root at x = -3