# Recent questions in Transformations of functions

Transformations of functions

### g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. $$\displaystyle{g{{\left({x}\right)}}}=\sqrt{\frac{1}{4}}{x}$$

Transformations of functions

### g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. $$g(x) = 3 - ||x||$$

Transformations of functions

### g is related to one of the parent functions Describe the sequence of transformations from f to g. $$g(x) = \frac{1}{2}|x - 2| - 3$$

Transformations of functions

### h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h. $$\displaystyle{h}{\left({x}\right)}={x}^{{2}}-{9}$$

Transformations of functions

### g is related to one of the parent functions. Describe the sequence of transformations from f to g. g(x) = x^3 + 7

Transformations of functions

### g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. $$\displaystyle{g{{\left({x}\right)}}}=-\frac{{1}}{{4}}{\left({x}+{2}\right)}^{{2}}-{2}$$

Transformations of functions

### g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. g(x) = √3x + 1

Transformations of functions

### h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h. $$h(x) = (x - 2)^3 + 2$$

Transformations of functions

### g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. g(x) = 2 ||x + 5||

Transformations of functions

### For each of the following functions f (x) and g(x), express g(x) in the form a: f (x + b) + c for some values a,b and c, and hence describe a sequence of horizontal and vertical transformations which map f(x) to g(x). $$\displaystyle{f{{\left({x}\right)}}}={x}^{{2}}-{2},{g{{\left({x}\right)}}}={2}+{8}{x}-{4}{x}^{{2}}$$

Transformations of functions

### g is related to one of the parent functions. Describe the sequence of transformations from f to g. g(x) = 3(x - 2)^3

Transformations of functions

Transformations of functions

### Table shows the number of wireless service subscribers in the United States and their average monthly bill in the years from 2000 through 2015. $$\begin{matrix} \text{Year} & \text{Subscribers} & \text{Average Monthly}\\ { } & \text{(millions)} & \text{Revenue per Subscriber Unit ()}\\ {2000} & {109.5} & {48.55}\\ {2001} & {128.4} & {49.79}\\ {2002} & {140.8} & {51.00}\\ {2003} & {158.7} & {51.55}\\ {2004} & {182.1} & {52.54}\\ {2005} & {207.9} & {50.65}\\ {2006} & {233.0} & {49.07}\\ {2007} & {255.4} & {49.26}\\ {2008} & {270.3} & {48.87}\\ {2009} & {285.6} & {47.97}\\ {2010} & {296.3} & {47.53}\\ {2011} & {316.0} & {46.11}\\ {2012} & {326.5} & {48.99}\\ {2013} & {335.7} & {48.79}\\ {2014} & {355.4} & {46.64}\\ {2015} & {377.9} & {44.65}\\ \end{matrix}$$ One of the scatter plots suggests a linear model. Use the points at t = 0 and t = 15 to find a model in the form y = mx + b.

Transformations of functions

### g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. g(x) = -1/4 (x + 2)^2 - 2

Transformations of functions

### Find the area of the shaded region

Transformations of functions

### g is related to one of the parent functions. Describe the sequence of transformations from f to g. g(x) = -2|x - 1| - 4

Transformations of functions

### Find the volume of the solid generated by revolving the shaded region

Transformations of functions