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)=4x−7f(x) = 4x - 7 is translated 3 units downwards (2) f(x)=x2+6f(x) = x^2 + 6 is vertically stretched with scale factor 5 (3) f(x)=7−3xf(x) = 7 - 3x is translated 4 units to the left (4) f(x)=2x2−x+4f(x) = 2x^2 - x + 4 is horizontally stretched with scale factor 3 (5) f(x)=x3f(x) = x^3 is reflected in the yy-axis.

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