# Transformation of functions questions and answers

Recent questions in Transformations of functions

### Graph f and g in the same rectangular coordinate system. Use transformations of the graph of f to obtain the graph of g. Graph and give equations of all asymptotes Use the graphs to determine each function's domain and range. $$\displaystyle{f{{\left({x}\right)}}}={2}^{{{x}}}\ {\quad\text{and}\quad}\ {g{{\left({x}\right)}}}={2}^{{{x}-{1}}}$$

Annette Arroyo 2021-08-08 Answered

### Begin by graphing $$\displaystyle{f{{\left({x}\right)}}}={{\log}_{{{2}}}{x}}$$. Then use transformations of this graph to graph the given function. What is the graph's x-intercept? What is the vertical asymptote? Use the graphs to determine each function's domain and range. $$\displaystyle{h}{\left({x}\right)}=-{1}+{{\log}_{{{2}}}{x}}$$

Burhan Hopper 2021-08-08 Answered

### Graph f and g in the same rectangular coordinate system. Use transformations of the graph of f to obtain the graph of g. Graph and give equations of all asymptotes. Use the graphs to determine each function's domain and range. $$\displaystyle{f{{\left({x}\right)}}}={\log{{x}}}\ {\quad\text{and}\quad}\ {g{{\left({x}\right)}}}=-{\log{{\left({x}+{3}\right)}}}$$

Joni Kenny 2021-08-03 Answered

### Graph f and g in the same rectangular coordinate system. Use transformations of the graph of f to obtain the graph of g. Graph and give equations of all asymptotes. Use the graphs to determine each function's domain arid range. $$\displaystyle{f{{\left({x}\right)}}}={e}^{{{x}}}{\quad\text{and}\quad}{g{{\left({x}\right)}}}={2}{e}^{{{\frac{{{x}}}{{{2}}}}}}$$

Tammy Todd 2021-08-01 Answered

### Begin by graphing $$\displaystyle{f{{\left({x}\right)}}}={\log{{2}}}{x}$$ Then use transformations of this graph to graph the given function. What is the graph's x-intercept? What is the vertical asymptote? Use the graphs to determine each functions domain and range. $$\displaystyle{r}{\left({x}\right)}={{\log}_{{{2}}}{\left(-{x}\right)}}$$

Brennan Flores 2021-07-30 Answered

### For $$\displaystyle{y}={3}+{{\log}_{{{2}}}{x}}$$. a) Use transformations of the graphs of $$\displaystyle{y}={{\log}_{{{2}}}{x}}$$ and $$\displaystyle{y}={{\log}_{{{3}}}{x}}$$ o graph the given functions. b) Write the domain and range in interval notation. c) Write an equation of the asymptote.

Tazmin Horton 2021-07-04 Answered

### The two linear equations shown below are said to be dependent and consistent: $$2x−5y=3$$ $$6x−15y=9$$ Explain in algebraic and graphical terms what happens when two linear equations are dependent and consistent.

Daniaal Sanchez 2021-07-04 Answered

### The two linear equations shown below are said to be dependent and consistent: $$2x−5y=3$$ $$6x−15y=9$$ What happens if you use a graphical method?

Nannie Mack 2021-07-01 Answered

### The graph below expresses a radical function that can be written in the form $$f(x) = a(x + k)^{\frac{1}{n}} + c$$. What does the graph tell you about the value of k in this function?

Zoe Oneal 2021-06-30 Answered

### Tabular representations for the functions f, g, and h are given below. Write g(x) and h(x) as transformations of f (x).$$\begin{array}{|c|c|c|c|c|c|} \hline x & -2 & -1 & 0 & 1 & 2 \\ \hline f(x) & -1 & -3 & 4 & 2 & 1 \\ \hline \end{array}$$ $$\begin{array}{|c|c|c|c|c|c|} \hline x & -3 & -2 & -1 & 0 & 1 \\ \hline g(x) & -1 & -3 & 4 & 2 & 1 \\ \hline \end{array}$$ $$\begin{array}{|c|c|c|c|c|c|} \hline x & -2 & -1 & 0 & 1 & 2 \\ \hline h(x) & -2 & -4 & 3 & 1 & 0 \\ \hline \end{array}$$

Emeli Hagan 2021-06-27 Answered