Recent questions in Transformations of functions

PrecalculusAnswered question

chillywilly12a 2021-02-08

Begin by graphing

$f\left(x\right)={2}^{x}$

Then use transformations of this graph to graph the given function. Be sure to graph and give equations of the asymptotes. Use the graphs to determine each functions

Then use transformations of this graph to graph the given function. Be sure to graph and give equations of the asymptotes. Use the graphs to determine each functions

PrecalculusAnswered question

midtlinjeg 2021-01-31

Use long division to rewrite the equation for g in the form

Then use this form of the function's equation and transformations of

to graph g.

PrecalculusAnswered question

Marvin Mccormick 2021-01-22

Sketch a graph of the function. Use transformations of functions whenever possible. $f\left(x\right)=2{x}^{2}\text{}-\text{}1$

PrecalculusAnswered question

Yulia 2021-01-16

Sketch a graph of the function. Use transformations of functions when ever possible. $f\left(x\right)=\sqrt{3}\{-x\}$

PrecalculusAnswered question

boitshupoO 2021-01-10

Begin by graphing

$f\left(x\right)={\mathrm{log}}_{2}x$

Then use transformations of this graph to graph the given function. What is the vertical asymptote? Use the graphs to determine each function s domain and range.

$g\left(x\right)=\frac{1}{2}{\mathrm{log}}_{2}x$

Then use transformations of this graph to graph the given function. What is the vertical asymptote? Use the graphs to determine each function s domain and range.

PrecalculusAnswered question

permaneceerc 2021-01-07

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions, and then applying the appropriate transformations.

$y=1-2\sqrt{x}+3$

PrecalculusAnswered question

hexacordoK 2021-01-06

What transformations of the parent graph of

$f\left(x\right)=\sqrt{x}$

produce the graphs of the following functions?

a)$m\left(x\right)=\sqrt{7x\text{}-\text{}3.5}\text{}-\text{}10$

b)$j\left(x\right)=-2\sqrt{12x}\text{}+\text{}4$

produce the graphs of the following functions?

a)

b)

PrecalculusAnswered question

Dolly Robinson 2020-12-24

Begin by graphing

$f\left(x\right)={2}^{x}.$

The given function can then be graphed by using transformations on this graph. Make sure to graph the asymptotes and provide their equations. To determine each function, use the graphs.

PrecalculusAnswered question

remolatg 2020-12-22

Sketch a graph of the function. Use transformations of functions whenever possible. $f\left(x\right)=|x\text{}+\text{}1|$

PrecalculusAnswered question

Tolnaio 2020-12-15

Standard transformations can be used to help graph rational functions of the form $f\left(x\right)=\frac{A}{Bx-C}+D$
Explain how the parameters A, B, C, and D relate to the graph of the rational functions.

PrecalculusAnswered question

avissidep 2020-12-15

In the following items, you will analyze how several transformations affect the graph of the function $f\left(x\right)=\frac{1}{x}$ . Investigate the graphs of $f\left(x\right)=\frac{1}{x},g\left(x\right)=f\left(x\right)=\frac{1}{x+2},h\left(x\right)=\frac{1}{x-2},p\left(x\right)=\frac{1}{x-4}\text{}\text{and}\text{}z\left(x\right)=\frac{1}{{x}^{2}+1}$ . If you use a graphing calculator, select a viewing window $\pm 23.5$ for x and $\pm 15.5$ for y. At what values in the domain did vertical asymptotes occur for each of the functions? Explain why the vertical asymptotes occur at these values.

PrecalculusAnswered question

glasskerfu 2020-11-23

Graph f and g in the same rectangular coordinate system. Use transformations of the graph f of to obtain the graph of g. Graph and give equations of all asymptotes. Use the graphs to determine each function's domain and range.

PrecalculusAnswered question

Khaleesi Herbert 2020-11-12

Let $f\left(x\right)={x}^{3}\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}g\left(x\right)=x\text{}-\text{}3.$
a) Determine the equations of the composite functions $(f\text{}\circ \text{}g)\left(x\right)\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}(g\text{}\circ \text{}f)\left(x\right).$
b) Graph the composite functions.
c) Graph the composite functions. Describe $(f\text{}\circ \text{}g)\left(x\right)\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}(g\text{}\circ \text{}f)\left(x\right)$ as transformations of f(x).

PrecalculusAnswered question

Tobias Ali 2020-11-09

Sketch a graph of the function. Use transformations of functions whenever possible.
$f\left(x\right)=\text{}\frac{1}{{(x\text{}-\text{}1)}^{3}}$

PrecalculusAnswered question

jernplate8 2020-11-06

Use transformations to sketch the graph of the function. $s\left(x\right)=1\text{}+\text{}{0.5}^{x}$

PrecalculusAnswered question

Emeli Hagan 2020-10-23

Sketch a graph of the function. Use transformations of functions whenever possible. $f\left(x\right)=3{x}^{2}$

Just think about taking a basic function by changing it according to some predetermined way. You will have to use graphics to understand what kind of transformation has been used. The transformations of functions examples will include translations, reflections, scaling, and vector approaches called rotations. These may be a bit too challenging, yet you should see various examples and use more than one equation to see how transformations of functions equation work in practice. Do not forget about dilations as well by turning to four variables in each example. It will help ou learn the similarities and see the sequences.