Choose the graph that shows the transformation of f(x) = log(a) shifted 1 units to the left and stretched vertically 3 units.

Q: If the growth rate showed a constant increase from 150 animals per year in 2015 to 285 animals per…

A: Answer 4.1:   Answer 4.2: The red triangle area represents an increase in animal population growth…

Q: Sketch the graph of f

A: we have to sketch the graph of f firstly, put a=2, 3, 4..........so on  the we draw the graph of…

Q: Sketch the graph of f

A: Consider the function: fx=loga3-x. Sketch the graph of fx. To plot the graph of fx=loga3-x for…

Q: The graph of the function f(x)=log10(x) is stretched vertically by a factor of 7, shifted to the…

A: The function f(x)=log10(x) is stretched vertically by a factor of 7. So it becomes 7log10(x). Then…

Q: The effect on the graph of y = log,z if it is transformed to y = log,(z+3)? may be described as Oa…

A:

Q: The function represents the rate of flow of money (in dollars per year) over the given time period,…

A: Given that, The function of future value is  f(t) = 2000  rate, r = 3% = 0.03 time , t = 3 years  To…

Q: What is the vertical asymptote of the function f (x)= log(x+4) + 2

A:

Q: Find the value of x which satsfies the relation  log103+log10(4x+1) = log10(x+1)+1

A:

Q: Find the equation of the vertical asymptote f(x) = log(x – 1)

A:

Q: Find the equation of the vertical asymptote f(x)=log(x+5)

A:

Q: Find a formula for the function graphed below as a transformation of y = log3 (x). 3 1 -3 -1 2 3. 5.…

A:

Q: Compare the graphs of f(x)=2x+4 and g(x)=log2(x-4). What line are the two functions reflected over?

A: Topic- function

Q: Describe the transformations made to the parent graph to obtain this function: g (x) = -2 log (x +…

A:

Q: Find the exponential function f(x)=a^x whose graph is given. f(x)=

A:

Q: Explain how to use the graph of f(x) = 2x to obtain the graph of g(x) = log2 x.

A: given: the function f(x)=2x the other function is g(x)=log2x. let the given function f(x)=2x as y.…

Q: How is the graph of y =log(x) transform to produce the graph of y=log(2x)+3

A: Given graph of y = log(x), transform it to get the graph for y = log(2x) + 3.Let us first discuss…

Q: sketch the graph of f(x) =1 log2 (x+3)  state vertical shift, horizontal shift, ordered pair where…

A: The given function is f(x) =log2 (x+3)To sketch, state vertical shift, horizontal shift, ordered…

Q: Find the domain of the function f(x) = log3(x + 6).

A: Given: fx=log3x+6 we know that in logax, domain is x>0, a>0-1

Q: Which best describes the graph of f (x) = log (x + 5) – 3 as a transformation of the graph of g (x)…

A:

Q: Find the equation of the vertical asymptote f(x) = log(x + 4)

A: Given,                f(x)= log(x+4)

Q: Find the equation of the vertical asymptote f(x)= log(x+1)

A: The equation of the vertical asymptote f(x)= log(x+1)

Q: Write the equation of the asymptote for this function: f(x) = log2(x - 1).

A:

Q: Explain how to use the graph of f(x) = 2" to obtain the graph of g(x) = log2 x. %3! %3D

A: Given:- The function f(x)=2x The other function is g(x)=log2 x.

Q: Graph the function g(x)=loge(x+2.5) on the same axes as f(x)=logex and describe the effect of the…

A:

Q: Describe the transformations that take the graph of f (x) = log, x to 8 (x) = log, 8x*

A: Here firstly we need to express the function g(x) in terms of f(x) with some multiplication or…

Q: (b) Explain how the function f(x) = log(x + 3) can be graphed by using transformation of the graph…

A: (b) If a function y=fx is shifted a units to the left then we obtain the graph of the function…

Q: The graph of g(x) = 5 + log, x is the graph of f(x) = log, x shifted

A: Consider a function y=fx If the function y=fx is shifted upwards by 'a' units, the function becomes…

Q: State the transformations that have been applied to log3 x to obtain f (x) = -2 log3[2x – 6] – 4…

A: We have to sketch

Q: Sketch the graph using the transformation process. g(x) = log2 (x+1) +1

A: Let fx=log2x.

Q: Describe the transformations that take the graph of A horizontal compression of a factor 1/8 f (x) =…

A:

Q: Sketch the graph of f.

A: Given that, fx=3log3x

Q: State the transformations needed to change the graph of f(x) = -4 log(x + 3) - 1 into f(x) = -2…

A: State the transformations needed to change the graph of f(x) =-4 log(x+3)-1 into f(x) =-2…

Q: State the transformations that have been applied to log3 to obtain f (x) = -2 log3[2x – 6] - 4

A:

Q: Describe the transformations that take the graph of f (x) = log, x to 8 (x) = log, 8x

A: Given: fx=log2x And gx=log28x3 So, we can also write as: log28x3=log28+log2x3  ...We know: logbmn=…

Q: Choose the graph that shows the transformation of f(x) = log(x) shifted 2 units to the left and…

A: We will use the transformation of graphs to find the transformed result :  To shift the graph left…

Q: Sketch the graph of f.

A: The function: fx=log6x

Q: =) Express the new function h(x) log2 in terms of the original function f (x) log, (x).

A:

Q: What transformations would map the graph of f (x) = log3 (a) onto the graph of g(x) = log3 (81z³)?

A: Given data fx=log3x gx=log381x3

Q: Sketch the graph of f.

A: Given: f(x)=log416x

Q: The parent function h(x)= log3 (x) is tranformed into j(x)= 2 log3 (x + 3) – 7. Using complete…

A: Proceed as explained below...

Q: Which of the following transformations should be performed first when considering the graph of the…

A:

Q: 3. List the steps and explain the effect of each transformation to graph the function y =-3 log(-2x…

A: Let us first draw the graph of y=logx. First Transformation y=log(-x) Graph will reflect along…

Q: Find the exponential function f(x) = a\ whose graph is given. %3D f(x) = y 2 3.

A: To find: The exponential function whose graph is given. Given:  The function is shown in the below…

Q: Find the function of the form y = loga(x) whose graph is given. y 1.0| 0.5 (2, 1/3) 0.5 1.0 1.5 2.0…

A: Function passes through the point (2,1/3) which satisfy the function