Recent questions in Transformations of functions

PrecalculusAnswered question

Ralzereep9h 2022-10-21

Consider the following functions.

$f(x)=4{x}^{2}+5,\text{}g(x)=6x$

Find $(f\circ g)(x)\text{}\text{}\text{},\text{}\text{}\text{}(g\circ f)(x)\text{}\text{}\text{},\text{}\text{}\text{}f(g(-3))\text{}\text{}\text{},\text{}\text{}\text{}g(f(4))$

$f(x)=4{x}^{2}+5,\text{}g(x)=6x$

Find $(f\circ g)(x)\text{}\text{}\text{},\text{}\text{}\text{}(g\circ f)(x)\text{}\text{}\text{},\text{}\text{}\text{}f(g(-3))\text{}\text{}\text{},\text{}\text{}\text{}g(f(4))$

PrecalculusOpen question

Jenile Gobaliza2022-05-24

Graph the function by hand, not by plotting points but by starting with the graph of one of the standard functions then apply the appropriate transformations. y= -x²-4.

PrecalculusAnswered question

ropowiec2gkc 2022-04-03

Find a linear mapping G that maps $[0,1]\times [0,1]$ to the parallelogram in the xy-plane spanned by the vectors $(2,3)$ and $(4,1)$.

PrecalculusAnswered question

find a formula for the quadratic function whose graph has the given y-intercept of y=-1 and a vertex at (-1,-2)

PrecalculusAnswered question

Finf the critical points of f(x,y)= e^xy +3 and use the second derivative test

PrecalculusAnswered question

osnomu3 2021-12-24

If $f\left(x\right)={x}^{2}-2x+3$ how do you find f(a+h)-f(a)/h?

PrecalculusAnswered question

Grady Turner 2021-11-30

Question

For a linear transformation$w=(a+jb)z$ , the point $A=(1+j)$ in the z-plane was transformed to $A=(-5+14j)$ in the w-plane. Calculate $(a+jb)$ , the magnification, and the rotation of the transformation.

For a linear transformation

PrecalculusAnswered question

luipieduq3 2021-11-22

Differentiate the following function respect to x

$p={e}^{{x}^{2}\mathrm{sin}x}$

PrecalculusAnswered question

Clifton Sanchez 2021-11-20

The relationship between f and g is given. Explain the relationship between f′ and g′

$g\left(x\right)=2f\left(x\right)$

PrecalculusAnswered question

Baublysiz 2021-11-19

Find a function f such that $f}^{\prime}\left(x\right)=3{x}^{3$ and the line 81x+y=0 is tangent to the graph of f.

PrecalculusAnswered question

actever6a 2021-11-19

If $f\left(x\right)=\mathrm{cos}\left(2x\right),\text{}then\text{}f{}^{\u2034}\left(\frac{\pi}{4}\right)=$ ?

PrecalculusAnswered question

shadsiei 2021-11-10

Steam is lo be condensed on the shell side of a heat exchanger at ${75}^{\circ}F$ . Cooling water enters the tubes at ${50}^{\circ}F$ at a rate of 43 lbm/s and leaves at ${65}^{\circ}F$ . Assuming the heat exhanger to be well-insulated, determine the rate of heat transfer in the heat exchanger and the rate of condensation of the steam.

PrecalculusAnswered question

rocedwrp 2021-09-24

State the parent function that must be transformed to create the graph of each of the following functions. Then describe the transformations that must be applied to the parent function.

a)

b)

c)

d)

e)

f)

PrecalculusAnswered question

Maiclubk 2021-09-22

The following question consider the Gompertz equation, a modification for logistic growth, which is often used for modeling cancer growth, specifically the number of tumor cells. [T] The Gompertz equation has been used to model tumor growth in the human body. Starting from one tumor cell on day 1 and assuming \(α=0.1\) and a carrying capacity of 10 million cells, how long does it take to reach “detection” stage at 5 million cells?

PrecalculusAnswered question

Dolly Robinson 2021-09-20

Use the definition of continuity and the properties of limits to show that the function is continuous on the given interval.

$g\left(x\right)=2\sqrt{3}-x,(-\mathrm{\infty},3]$

PrecalculusAnswered question

Caelan 2021-09-15

Describe the transformations that were applied to

a)

b)

c)

d)

e)

f)

PrecalculusAnswered question

he298c 2021-09-12

Tell whether the function represents exponential growth or exponential decay. Explain your reasoning. f(x)=4e^−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.