Gr'10 Academic

1
Gr.10 Academic

• 4.2 Applications

2
Example 1

• There is a bridge that is 15m wide and arches to
  a height of 5m at the centre. What is the
  equation in vertex form?

3
5m
15m
0m
7.5m
4
Example 2

• Given the parabola, y 2x2 8x, lets create a
  table of values.

-6
-8
-6
0
10
24
5
What is the vertex?

• The vertex is (-2, -8)

6
What is the equation of the parabola in vertex
form?

• Vertex (-2, -8)
• Another point (0,0)

7
Example 3

• Nansy is having a Math Party. She is sooooooo
  excited that she throws some streamers in the
  air. The height of the streamers h, in meters,
  after t seconds is
• h -1.1(t 1.5)2 3.5

8
What was the height of the streamers when it was
first thrown?

• Set t 0 and solve for h

9
What is the maximum height of the streamers?

• h -1.1(t 1.5)2 3.5

10
Where are the streamers at 1 second? Is it going
up or down?

• Set t 1, solve for h

The streamers are going up because the time (t
1) is before the vertex (t1.5)