Find the equation of the resulting graph when:

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Find the equation of the resulting graph g(x)g(x) when: (1) f(x)=2x+3f(x) = 2x + 3 is translated 4 units downwards (2) f(x)=3x−4f(x) = 3x - 4 is translated 2 units to the left (3) f(x)=−x2+5x−7f(x) = -x^2 + 5x - 7 is translated 3 units upwards (4) f(x)=x2+4x−1f(x) = x^2 + 4x - 1 is translated 5 units to the right.

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