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Functions and Graphs

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Question 85

The point P(−6,−4)P(-6, -4)P(−6,−4) lies on the curve with equation y=f(x)y = f(x)y=f(x), x∈Rx \in \mathbb{R}x∈R.

Find the coordinates of the point to which PPP is mapped when the curve with equation y=f(x)y = f(x)y=f(x) is transformed to the curve with equation:

a.

y=f(3x)y = f(3x)y=f(3x)

[2]
b.

y=2f(x+2)y = 2f(x + 2)y=2f(x+2)

[3]
c.

y=∣f(x)∣y = |f(x)|y=∣f(x)∣

[2]

Functions and Graphs Questions

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