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Quadratics (id: 1af49351b)

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admin 发表于 2024-6-12 22:30:26 | 显示全部楼层 |阅读模式
本题目来源于试卷: Quadratics,类别为 IB数学

[问答题]
Let f(x)=a(x+1)(x+5) , 8 -i sm ,84 fmf6bj9p0xklmxup.dqr/:kj zvy; cl+qk k9fw p3 t+(+whv 2wdkn.for $ x \in \mathbb{R} $, where $ a \in \mathbb{Z}$ . The following diagram shows part of the graph of f .



The graph of f has x -intercepts at (p, 0) and (q, 0) , and a y -intercept at (0,-10) .
1. 1. Write down the value of p and the value of q .
2. Find the value of a .
2. Find the equation of the axis of symmetry.
3 . Find the coordinates of the vertex.

The graph of a function g is obtained from the graph of f by a reflection in the y -axis, followed by a translation by the vector $ \binom{0}{2}$ . The point $\mathrm{P}(-2,6)$ on the graph of f is mapped to point $ \mathrm{Q} $ on the graph of g .
4. Find the coordinates of Q .




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