Question

Use the graph to identify the axis of symmetry, vertex, y-int, max/min, domain and range

Answer 1

Check below, please.

1) Looking at the graph, we can tell that the axis of symmetry is the vertical line that passes through the Vertex.

So, the axis of symmetry is x=1

2) Vertex:

The peak of that parabola is located at (1, 3) so we can tell that's the vertex of that parabola.

3) Y-intercept

From what we see, the parabola intercepts the y-axis at point (0,0) so y=0

4) Max or Min

Notice that this parabola opens down. So it will present a maximum point.

5) Domain

A quadratic equation in general is defined for all points in the Real set.

Therefore:

$D=(-\infty,\infty)$

6) Range

The Range in this graph is defined as:

$\:(-\infty\:,\:3\rbrack$

Note that the highest point is y=3 so the Range is defined like that.