7/21/2019 Math

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1.f(x) + k shifts f(x) up k units.

2.f(x-h) shifts f(x) right h units.

3.a*f(x), 0<a< 1 compresses f(x) in the y-irection.

!.a*f(x), a " 1, stretches f(x)in the y-irection.

#.f($*x), 0 < $ < 1, stretches f(x) in the x-irection.

%.f($*x), $ " 1, compresses f(x) in the x-irection.

&.-f(x) re'ects f(x) oer the x-axis.

.f(-x) re'ects f(x) across the y-axis.

1.irect ariation x aries irecty ith y means that x1/y1 x2/y2

2.nerse (or nirect) ariation x aries inersey ith y means that x1y1 x2y2

3.oint ariation x aries irecty ith y an inersey ith means x11/y1

x22/y2

4uppose you hae a $ox ith sie engths a, $, c an iagona ,

 5hen you can 6n iagona $y using the fooing formua

a2

 + $2

 + c2

  2