Question

Use the graph of the parabola to fill in the table.

(a) Does the parabola open upward or downward?
(b) Find the coordinates of the vertex.
(c) Find the equation of the axis of symmetry.
equation of axis of symmetry:
(d) Find the intercept(s).
For both the x- and y-intercept(s), make sure to do the following.

If there is more than one, separate them with commas.
If there are none, select "None".

Answer 1

(a) The parabola opens upward.

• This is because the graph has a minimum.

(b)
`(3, -4)`

• The vertex is the point where the graph changes from increasing to decreasing.

(c)
`x=3`.

• The axis of symmetry is the vertical line passing through the vertex.

(d) x-intercepts: (1,0) and (5,0); y-intercept: (0,5)

• The x-intercepts are where y=0, and the y-intercept is where x=0.