Estimate the sum of 23 and 71
2 answers:
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The spider's movement is an illustration of a parabola.
- The equation of a parabola is:
- The focus of a parabola is: (40,-30)
- The axis of symmetry is:
- The directrix is:
<u>(a) The equation</u>
The spider passes through the origin.
So, we have:
The spider jumps to a maximum height of 10mm, midway 80mm.
So, the vertex is:
The equation of a parabola is:
So, we have:
Subtract 10 from both sides
Solve for a
Substitute and
in
<u>(b) The focus, directrix and the axis of symmetry</u>
The focus of a parabola is:
Where:
So, we have:
So, we have:
The axis of symmetry is:
So, we have:
The directrix is:
Read more about parabolas at: