Recent questions in Transformations of functions

PrecalculusAnswered question

babeeb0oL 2021-09-12

Find the limit and discuss the continuity of the function. $\underset{x,y}{lim}\to (2\pi ,4)\mathrm{sin}\frac{x}{y}$

PrecalculusAnswered question

banganX 2021-08-16

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 $f\left(x\right)\text{}\to \text{}g\left(x\right).\left(a\right)\left(i\right)$

$f\left(x\right)={x}^{2},g\left(x\right)=2{x}^{2}+4x$

$\left(ii\right)f\left(x\right)={x}^{2},g\left(x\right)=3{x}^{2}-24x+8$

$\left(b\right)\left(i\right)f\left(x\right)={x}^{2}+3,g\left(x\right)={x}^{2}-6x+8$

$\left(ii\right)f\left(x\right)={x}^{2}-2,g\left(x\right)=2+8x-4{x}^{2}$

PrecalculusAnswered question

aflacatn 2021-08-15

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

PrecalculusAnswered question

hexacordoK 2021-08-14

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.

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

PrecalculusAnswered question

avissidep 2021-08-14

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

CoormaBak9 2021-08-14

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

PrecalculusAnswered question

a2linetagadaW 2021-08-14

For $y=2+{\mathrm{log}}_{3}x$ .

a) Use transformations of the graphs of$y={\mathrm{log}}_{2}x\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}y={\mathrm{log}}_{3}x$ o graph the given functions.

b) Write the domain and range in interval notation.

c) Write an equation of the asymptote.

a) Use transformations of the graphs of

b) Write the domain and range in interval notation.

c) Write an equation of the asymptote.

PrecalculusAnswered question

Reggie 2021-08-13

In your earlier work in algebra, you learned how to recognize linear, exponential, and quadratic functions by the form of their symbolic rules. Geometric transformations also can be recognized by their symbolic rules. What transformation is defined by each of the following coordinate rules? $a.(x,y)\to (5y,5x)\text{}b.(x,y)\to (-\frac{1}{2}x,-\frac{1}{2}y)\text{}c.(x,y)\to (4x-12,4y+8)$

PrecalculusAnswered question

bobbie71G 2021-08-12

Describe the transformations that were applied to

PrecalculusAnswered question

shadsiei 2021-08-11

Graph the functions $y={5}^{x},y=-{5}^{x},y={5}^{x}+2,y={5}^{x}-2$ , and $y={10}^{x}$ on the same screen. Compare $y=-{5}^{x},y={5}^{-x}$ to the parent graph $y={5}^{x}$ . Describe the transformations of the functions.

PrecalculusAnswered question

Phoebe 2021-08-08

Begin by graphing the standard quadratic functions. $f\left(x\right)={x}^{2}$ .

Then use transformations of this graph to the given function.$r\left(x\right)=-{(x+1)}^{2}$

Then use transformations of this graph to the given function.

PrecalculusAnswered question

Clifland 2021-08-08

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.

$y={(x-3)}^{2}$

PrecalculusAnswered question

vazelinahS 2021-07-30

Describe the transformations that were applied to

PrecalculusAnswered question

Ava-May Nelson 2021-07-13

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.

$y=3-2\mathrm{cos}x$

PrecalculusAnswered question

naivlingr 2021-07-04

g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g.

PrecalculusAnswered question

glasskerfu 2021-06-29

g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g.

PrecalculusAnswered question

floymdiT 2021-06-26

The process by which we determine limits of rational functions applies equally well to ratios containing noninteger or negative powers of x: Divide numerator and denominator by the highest power of x in the denominator and proceed from there. Find the limits.

PrecalculusAnswered question

Jason Farmer 2021-06-21

g is related to one of the parent functions Describe the sequence of transformations from f to g.

PrecalculusAnswered question

Reeves 2021-06-20

Determine the domains of the given rational functions.

$\frac{{x}^{2}-9}{{x}^{3}-x}$

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.