Function Transformations

How is g(x) transformed?

• Vertical Shrink by 1/2, down 9

• Vertical Shrink by 1/2, left 9

• Vertical Stretch by 1/2, up 9

What is the parent function, and how has it been transformed?

• Parabola, down 3

• Square root, right 3

• Parabola, right 3

What is the parent function and how has it been transformed?

• Absolute Value, down 6

• Square root, down 6

• Parabola, down 6

What is the parent function, and how has it been transformed?

• Absolute Value, right 3, vertical stretch by 3

• Absolute Value, down 3, vertical stretch by 3

• Parabola, up 3, vertical shrink by 3

Describe the transformation

• right 9

• left 9

• horizontal stretch by 9

• down 9

Describe the transformation

• right 9, up 1, vertical shrink by 3

• right 9, down 1, vertical stretch by 3

• left 9, up 1, vertical shrink by 3

• right 9, up 1, vertical stretch by 3

Which equation matches the transformation:

Absolute value; right 6, vertical stretch by 2

• $y\ =\ 2\left|x+6\right|$

• $y=2\left|x-6\right|$

• $y=2\left|x\right|-6$

Which equation matches the transformation?

Absolute Value, right 2, down 6, vertical stretch 3, horizontal stretch 4.

• $y=3\left|\frac{x-2}{4}\right|-6$

• $y=3\left|\frac{x+2}{4}\right|+6$

Which equation matches the transformation?

Parabola; Reflects and right 9

• $y=\left(x-9\right)^2$

• $y=-x^2-9$

• $y=-\left(x-9\right)^2$

Which equation matches the transformation?

Absolute Value; Reflects, right 1, down 4

•  $y=-\left|x-1\right|-4$  

•  $y=-\left|x+1\right|-4$  

•  $y=-\left|x-4\right|+1$