y = f(x)

Mathematics Department Workshops
Topic: Transformations of graphs
Resource Sheet HT2.TGR.4
y = f(x)
y = f(x) – 3
y = f(x) + 3
y = f(3x)
y = 3f(x)
www.ncetm.org.uk
A Department for Children, Schools and Families initiative to
enhance professional development across mathematics
teaching
y = f(x+3)
y = f(x-3)
y = -f(x)
y = f(-x)
www.ncetm.org.uk
A Department for Children, Schools and Families initiative to
enhance professional development across mathematics
teaching
y = g(x)
y = g(x) – 2
www.ncetm.org.uk
y = g(x+2)
A Department for Children, Schools and Families initiative to
enhance professional development across mathematics
teaching
y = g(0.5x)
y = 0.5g(x)
y = g(-x)
y = -g(x)
y = g(-x)+3
y = -g(2x)
www.ncetm.org.uk
A Department for Children, Schools and Families initiative to
enhance professional development across mathematics
teaching
y = h(x)
y = h(x) + 1
y = h(x) - 1
y = h(2x)
y = 2h(x)
www.ncetm.org.uk
A Department for Children, Schools and Families initiative to
enhance professional development across mathematics
teaching
y = h(x+1)
y = h(x-1)
y = -h(x)
y = h(-x)
www.ncetm.org.uk
A Department for Children, Schools and Families initiative to
enhance professional development across mathematics
teaching
www.ncetm.org.uk
A Department for Children, Schools and Families initiative to
enhance professional development across mathematics
teaching