Unit 2: Mid-Chapter Review

Describe the transformation of:  $g\left(x\right)=4\left(x-3\right)+5$  

[CHOOSE ALL THAT APPLY] 

Describe the transformation of:   $h\left(x\right)=\left(4x-3\right)+5$  

Describe the transformation of:  $j\left(x\right)=-4\left(x-3\right)-5$ 

[CHOOSE ALL THAT APPLY]

Describe the transformation of: $k\left(x\right)=\left(4x+3\right)-5$  


[CHOOSE ALL THAT APPLY]

Identify the x and y intercept of the linear function described by the equation and the graph: 

Identify the domain and range of the linear function described by the equation and the graph: 
 $g\left(x\right)=-\frac{1}{4}\left(4x+6\right)-5$  

How many x-intercepts does the graph of the function  $k\left(x\right)=-\left(x-1\right)^2-9$  have?

Describe what transformations of the quadratic parent function will result in the graph of the given function.

 $g\left(x\right)=-\left(2x-1\right)^2$    [CHOOSE ALL THAT APPLY]

Describe what transformations of the cubic parent function will result in the graph of the given function.

 $g\left(x\right)=\left(2x-6\right)^3+1$    [CHOOSE ALL THAT APPLY]

The domain and range of the function  $h\left(x\right)=\frac{1}{2}\left(x-2\right)^3-4$   is given as:       D: $\left\{x\ |\ x\inℝ\right\}$  and R:  $\left\{y\ |\ y\inℝ\right\}$  

Identify the x & y intercept of the given function:

   $h\left(x\right)=\frac{1}{2}\left(x-2\right)^3-4$  

Identify the x & y intercept of the given function:

   $f\left(x\right)=\frac{1}{2}\left|2x-6\right|-5$  

The domain and range of the function  $f\left(x\right)=3\left|\frac{1}{2}x+1\right|+4$   is given as:       D: $\left(-\infty,\ \infty\right)$  and R:  $\left(-\infty,\ 4\right]$