Linear Functions and Function Transformations

Describe the transformations that have occurred from the parent function to the given function g(x).

• Reflection over y axis

• Reflection over x axis; Vertical stretch by factor of 2

• Translation down 2

• Reflection over x axis; Translation down 2

Tags

CCSS.HSF.BF.B.3

Describe the transformations that have occurred from the parent function to the given function g(x).

• Translation down 2

• Vertical stretch by 1/2; Translation left 2

• Translation down 1/2 and right 2

• Vertical shrink by 1/2; Translation right 2

Describe the transformations that have occurred from the parent function to the given function g(x).

• Translation left 3 and up 3

• Translation right 3 and up 3

• Translation left 3 and down 3

• Translation right 3 and down 3

Describe the transformations that have occurred from the parent function to the given function g(x).

• Translation right 1 and down 2

• Translation left 1 and down 2

• Translation right 2 and up 1

• Translation left 2 and up 1

Choose the equation of the transformation function shown in the graph.

• $y=\left|x+1\right|+2$

• $y=\left|x-2\right|+1$

• $y=\left|x+2\right|+1$

• $y=\left|x-1\right|-2$

Choose the equation of the transformation function shown in the graph.

• $f\left(x\right)=-x^3+1$

• $f\left(x\right)=x^3+1$

• $f\left(x\right)=-\left(x+1\right)^3$

• $f\left(x\right)=-x^3-1$

Choose the equation of the transformation function shown in the graph.

• $y=\frac{1}{x+3}-1$

• $y=\frac{1}{x-1}+3$

• $y=\frac{1}{x}-3$

• $y=\frac{1}{x-3}-1$

Choose the equation of the transformation function shown in the graph.

• $y=-x^2$

• $y=-\left(x-1\right)^2$

• $y=-\left(x+1\right)^2$

• $y=-x^2+1$

State the domain and range of the function shown in the graph.

• $Domain:\ \left(-\infty,\infty\right)$
  $Range:\ \left[0,\ \infty\right)$

• $Domain:\ \left[0,\ \infty\right)$
  $Range:\ \left[0,\ \infty\right)$

• $Domain:\left(-\infty,\ 1\right)\cup\left[2,\infty\right)$

  $Range:\ \left[0,\ \infty\right)$
  

• $Domain:\ \left(-\infty,\ 1\right)\cup\left(2,\ \infty\right)$
  $Range:\ \left[0,\ 3\right)\cup\left(3,\ \infty\right)$
  

State the domain and range of the function shown in the graph.

• $Domain:\ \left(-\infty,-1\right)\cup\left(0,\ \infty\right)$
  $Range:\ \left(-\infty,\ 1\right)\cup\left(0,\ \infty\right)$
  

• $Domain:\ \left(-\infty,-1\right)\cup\left(0,\ \infty\right)$
  $Range:\ \left(-\infty,\infty\right)$
  

• $Domain:\ \left(-\infty,\infty\right)$
  $Range:\ \left(-\infty,\infty\right)$
  

• $Domain:\ \left(-\infty,\ 1\right)\cup\left(0,\ \infty\right)$
  $Range:\ \left(-\infty,\ \infty\right)$