Functions and Graphs

Functions and Graphs

Secondary 3
4 marks

The graph \(y=x^2\) is transformed to \(y=(x-2)^2-3\).
State the translation from \(y=x^2\), the coordinates of the vertex, the axis of symmetry, and whether it opens upwards or downwards.[4]

Solution:

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Answer:Translation \(2\) units to the right and \(3\) units down; Vertex \((2,−3)\); Axis \(x=2\); opens up.

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