Graphing Equations Transformations

Down 1

Reflect over y-axis

Up 1

Reflect over x-axis

y = √(x - 5) - 1

y = √(x + 5) - 1

y = √(x - 5) + 1

y = √(x + 5) + 1

Left 4 units, up 1 unit

Right 4 units, up 1 unit

Left 4 units, down 1 unit

Right 4 units, down 1 unit

g(x) = f(x) - 5

g(x)= 1/3f(x)

g(x) = f(x) + 5

g(x) = -f(x)

g(x) = 3f(x)

y = √(x) + 2

y = √(x) - 2

y = √(x + 2)

y = √(x - 2)

Left 1, Reflect over x-axis, up 2

Left 1, Reflect over y-axis, down 2

Right 1, Reflect over x-axis, up 2

Right 1, Reflect over y-axis, uo 2

Vertical stretch and a horizontal shift left 5

Vertical stretch and a horizontal shift right 5

Vertical compression and a horizontal shift left 5

Vertical stretch and a vertical shift up 5