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Mathematics

MU 123

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Question one
a. Parabola
i.
In general, the equation of a parabola is represented by 𝑦 = 𝑎2 + 𝑏𝑥 + 𝑐
1
From the given equation 𝑎 = − 10
ii.

iii.

iv.

The parabola is n-shaped because a < 0 thus has a maximum point.
X-intercepts can be found when y=0
𝑥 2 9𝑥 11
0= −
+
+
10 10 5
Multiply throughout by 10 we get
0 = −𝑥 2 + 9𝑥 + 22
−𝑏 ± √𝑏 2 − 4𝑎𝑐
𝑥=
2𝑎
2
−9 ± √9 − 4(−1)(22)
𝑥=
2(−1)
−9 ± √169
𝑥=
�...

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