Name Transforming Graphs f(x) + 3 f(x + 3) f(x + 1) sin (2x) f(x) - 2 f(x - 3) f(x) - 3 4f(x) cos(x - 45) sin x + 2 2f(x) cosx - 1 f(½x) f(4x) f(x) - 1 3f(x) Name Transforming Graphs f(x - 1) sinx - 1 ½f(x) - f(x) 2 sin x f(x) - 2 f(x - 3) f(x + 2) f(x + 3) sin (2x) 2f(x) f(x) + 2 f(x) - 3 f(4x) f(x - 2) f(x + 1) Name Transforming Graphs sin (x - 45) f(x) + 3 2 cos x 3f(x) cosx - 1 ½f(x) cos(x - 45) cos x + 1 4f(x) f(x - 3) f(-x) f(x) - 1 f(x + 2) sinx - 1 f(x) + 2 sin x + 2 Name Transforming Graphs f(x + 1) f(x + 3) 2f(x) f(x - 2) sin (2x) f(x) - 2 cosx - 1 f(4x) 2 sin x 2 cos x f(½x) f(x) - 1 3f(x) f(x - 1) f(2x) cos(x - 45) www.mathsbox.org.uk Name Transforming Graphs f(2x) f(4x) f(x) + 3 cos(x - 45) 2 sin x sin (2x) sin (x - 45) 2 cos x sinx - 1 4f(x) f(x + 1) sin x + 2 f(x) + 1 cos x + 1 3f(x) f(x - 3) Name Transforming Graphs f(x - 1) - f(x) f(x) - 3 f(x + 3) ½f(x) sin (2x) 2 sin x f(4x) f(x - 2) sinx - 1 f(-x) f(½x) sin x + 2 f(x) + 1 f(x) - 1 f(2x) Name Transforming Graphs cosx - 1 f(x + 1) 2 cos x f(x) + 3 3f(x) cos(x - 45) - f(x) sin (2x) sin (x - 45) f(x) + 2 f(x + 3) f(-x) sin x + 2 f(4x) cos x + 1 f(x - 2) Name Transforming Graphs f(2x) ½f(x) f(x + 2) cosx - 1 f(x) - 1 f(x - 3) f(x - 1) f(x + 1) f(x) - 3 f(x) + 3 sin (2x) 2 sin x 2f(x) sin (x - 45) cos x + 1 f(x) + 1 www.mathsbox.org.uk Name Transforming Graphs 3f(x) f(½x) f(x - 3) f(4x) f(x + 2) sin (2x) f(x + 1) sinx - 1 cos(x - 45) - f(x) f(x) + 1 2f(x) f(x - 1) cosx - 1 f(x) - 1 f(-x) Name Transforming Graphs f(x) + 2 f(2x) sin (x - 45) f(x - 3) f(4x) 2 cos x 3f(x) f(x + 2) f(x) - 2 f(½x) cos(x - 45) f(x) + 3 ½f(x) 4f(x) f(x) - 3 sinx - 1 Name Transforming Graphs 2 sin x cos x + 1 cosx - 1 f(2x) f(-x) 2f(x) f(4x) f(x - 2) sin x + 2 3f(x) f(½x) f(x - 3) - f(x) sin (2x) f(x - 1) cos(x - 45) Name Transforming Graphs ½f(x) 4f(x) sinx - 1 f(x) - 3 2 cos x f(x) - 2 f(4x) f(x - 2) 2 sin x 3f(x) f(x + 1) 2f(x) f(x - 3) f(2x) f(x + 2) f(x) + 1 www.mathsbox.org.uk Name Transforming Graphs f(½x) f(4x) f(x) - 2 f(x) - 1 sinx - 1 f(x) + 2 3f(x) f(x) + 1 2 sin x f(x) - 3 f(x - 1) 4f(x) f(-x) cos x + 1 sin (x - 45) f(x) + 3 Name Transforming Graphs f(x + 1) 2 cos x f(2x) cosx - 1 f(x + 2) cos(x - 45) f(4x) 2f(x) f(x - 2) f(x - 3) 2 sin x 4f(x) f(x - 1) sinx - 1 3f(x) f(x) - 2 Name Transforming Graphs f(½x) f(x + 1) f(x) + 3 f(-x) f(x) - 3 cosx - 1 f(x) + 1 2 cos x f(x + 2) f(x + 3) f(x - 2) sin (2x) sin x + 2 cos(x - 45) f(x) - 1 2f(x) Name Transforming Graphs sinx - 1 sin (x - 45) - f(x) f(x - 3) f(-x) cosx - 1 f(x) + 2 4f(x) f(x - 1) f(4x) f(x + 2) f(x - 2) f(x) - 3 f(x) + 1 2 sin x f(2x) www.mathsbox.org.uk Name Transforming Graphs f(x - 3) f(x) + 1 cosx - 1 - f(x) sin (2x) 3f(x) ½f(x) 2 cos x cos(x - 45) f(x + 2) f(x) - 2 f(x + 1) 4f(x) cos x + 1 f(x) + 3 f(x - 2) Name Transforming Graphs f(-x) f(x) - 3 f(x - 3) sinx - 1 2f(x) 3f(x) sin (x - 45) f(½x) f(x) + 2 sin (2x) f(x - 1) f(x + 3) - f(x) f(x) + 1 ½f(x) f(2x) Name Transforming Graphs f(4x) f(x + 2) f(x - 3) 2 sin x 4f(x) sin x + 2 f(x) - 3 f(x + 1) f(x) - 2 cosx - 1 f(½x) f(x - 1) f(-x) cos x + 1 f(x) + 3 cos(x - 45) Name Transforming Graphs - f(x) f(4x) ½f(x) f(x - 2) f(x) + 1 f(x + 3) f(x + 2) 2f(x) f(2x) f(x) - 1 3f(x) cosx - 1 f(x + 1) f(x) - 2 f(x) + 3 f(-x) www.mathsbox.org.uk Name Transforming Graphs 2 sin x 4f(x) f(2x) f(-x) 3f(x) sin (2x) f(x - 2) - f(x) f(x) + 3 sinx - 1 f(x - 3) f(x) + 1 2f(x) ½f(x) 2 cos x cos(x - 45) Name Transforming Graphs f(x) + 2 f(x) - 1 cosx - 1 f(-x) sin (x - 45) 2 sin x f(x + 1) 3f(x) sin (2x) f(x) - 2 f(4x) f(x - 3) sin x + 2 f(x) - 3 f(x) + 3 2f(x) Name Transforming Graphs f(x + 2) ½f(x) cosx - 1 f(-x) f(x + 3) f(x - 2) cos x + 1 f(½x) 2 cos x f(x) - 1 sinx - 1 2 sin x sin (2x) f(4x) sin x + 2 3f(x) Name Transforming Graphs f(x + 2) f(x - 3) f(x) + 2 f(x) - 2 cos(x - 45) f(x + 1) f(x) - 3 - f(x) f(2x) f(x) + 1 f(x - 2) f(½x) f(x - 1) sin (x - 45) f(x) + 3 ½f(x) www.mathsbox.org.uk Name Transforming Graphs f(x) + 3 2 cos x f(x + 2) f(½x) f(x) - 2 f(2x) 2 sin x f(x) - 1 f(x) - 3 2f(x) ½f(x) f(x) + 1 cos x + 1 cos(x - 45) sin x + 2 f(-x) Name Transforming Graphs f(x - 2) sinx - 1 sin (2x) f(x + 1) cosx - 1 f(2x) f(½x) sin (x - 45) 4f(x) f(x - 3) f(x) - 1 f(x - 1) 2 sin x 3f(x) sin x + 2 - f(x) Name Transforming Graphs f(x) - 3 2 cos x cos x + 1 ½f(x) f(x + 1) f(x + 3) f(x + 2) f(x) + 1 2f(x) cosx - 1 f(x) + 2 f(x) - 2 sinx - 1 sin (x - 45) f(½x) f(x - 1) Name Transforming Graphs cos(x - 45) f(x - 2) f(x) - 3 sin (2x) 2 sin x f(x) + 3 ½f(x) f(4x) f(x + 2) f(-x) f(x) + 1 f(x) - 2 f(x) - 1 f(x - 3) cosx - 1 f(2x) www.mathsbox.org.uk Name Transforming Graphs f(x) - 1 f(x - 2) f(2x) f(x) + 3 cos(x - 45) 2 sin x 4f(x) f(½x) - f(x) f(x) + 2 sin (x - 45) f(x) - 3 3f(x) f(x - 1) 2f(x) f(x) + 1 Name Transforming Graphs f(-x) f(x - 2) f(x) - 1 f(x) - 2 sin (2x) f(x + 1) ½f(x) 2 cos x 2 sin x - f(x) cos(x - 45) f(½x) 3f(x) f(x + 2) f(x + 3) sin x + 2 Name Transforming Graphs cos x + 1 cosx - 1 f(x) + 1 f(4x) f(x) + 3 f(x - 2) ½f(x) 2 cos x f(x) + 2 f(x - 1) 2f(x) sin (2x) cos(x - 45) f(x + 1) f(x + 2) sin (x - 45) Name Transforming Graphs f(-x) f(½x) f(x - 3) f(x) - 2 3f(x) - f(x) f(x) - 1 cos x + 1 sinx - 1 f(x) + 2 f(x) + 3 f(4x) f(x) - 3 sin x + 2 f(x + 3) cosx - 1 www.mathsbox.org.uk Name Transforming Graphs sin (2x) cosx - 1 f(x - 1) 4f(x) sinx - 1 f(½x) 3f(x) f(x) - 1 2 cos x sin (x - 45) f(x) - 3 cos x + 1 f(x + 1) f(x) - 2 ½f(x) - f(x) Name Transforming Graphs 2f(x) f(x - 3) f(x) + 2 f(x + 3) 2 sin x f(x - 2) sin (2x) 3f(x) sinx - 1 cosx - 1 2 cos x f(4x) f(-x) cos x + 1 f(x) + 1 f(x) - 3 Name Transforming Graphs - f(x) cos(x - 45) f(2x) f(x + 1) 4f(x) f(x) - 2 f(x) - 1 f(x) + 2 f(½x) sin (2x) f(x - 2) ½f(x) f(x - 3) sin x + 2 f(x + 3) 2 cos x Name Transforming Graphs f(4x) 3f(x) cosx - 1 f(-x) f(2x) f(x) - 3 2 sin x f(x) + 3 f(x) + 2 f(½x) 2f(x) cos(x - 45) sin (x - 45) f(x - 2) sin (2x) f(x - 1) www.mathsbox.org.uk Name Transforming Graphs f(4x) f(x - 2) sin (x - 45) f(x) + 2 f(-x) cosx - 1 f(x) + 3 f(x) + 1 4f(x) f(x + 3) f(x) - 3 2 sin x f(x + 1) - f(x) f(x + 2) f(x) - 2 Name Transforming Graphs f(½x) f(x - 2) sin x + 2 3f(x) f(2x) cos(x - 45) cos x + 1 f(x - 3) sin (2x) f(x) + 1 cosx - 1 f(x - 1) 4f(x) 2 sin x - f(x) f(4x) Name Transforming Graphs f(x) - 2 f(x + 3) f(x + 2) f(-x) sinx - 1 f(x + 1) sin (x - 45) 2f(x) cos(x - 45) cos x + 1 f(x - 2) f(x - 3) f(x) + 3 sin (2x) f(x) - 1 2 sin x Name Transforming Graphs f(½x) f(x) + 2 f(x) - 3 f(4x) f(-x) 2 cos x f(x + 2) f(x + 1) sinx - 1 cos x + 1 4f(x) - f(x) f(x) + 1 f(x - 1) f(x) - 1 3f(x) www.mathsbox.org.uk
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