## Parabolas – Identifing Parts of a Parabola

### Example 3 Understanding the Graph of Parabola For you to do.

Identifying Parts of a Parabola

For the figure, identify the axis of symmetry, the vertex, the minimum or maximum value and explain why it is a min or a max value, identify both points and their mirror image about the AOS.

The axis of symmetry is $x=-\frac{3}{2}=-1.5$. Since the parabola is facing up the y-coordinate of the vertex represent a minimum value. The vertex is $( \frac{3}{2}, \frac{5}{2} )$. The minimum value is $\frac{5}{2}$.
Point A is $( -\frac{5}{2}, \frac{9}{2} )= (-2.5,4.5)$ and its corresponding point would be $( -\frac{1}{2}, \frac{9}{2} )= (-0.5, 4.5).$
Point B is $(0, 7)$ and its corresponding point would be $(-3, 7).$