Explain how the graph of g is obtained from the graph of f. (a) f(x) = /x, g(x) = -/x +4 O reflect about the x-axis, then shift up 4 units reflect about the x-axis, then shift down 4 units reflect about the y-axis, then shift down 4 units reflect about the y-axis, then shift up 4 units O shift up 4 units, then reflect about the x-axis (b) f(x) = /x, g(x) = /-x +4 shift down 4 units, then reflect about the y-axis reflect about the x-axis, then shift down 4 units reflect about the y-axis, then shift down 4 units reflect about the x-axis, then shift up 4 units O reflect about the y-axis, then shift up 4 units

Q: Suppose f(x) = x. Find the graph of f(x+5) Click on the correct answer. graph 1 graph 2. graph 3…

A:

Q: 16. Let f(x) = -x³ + 3x - 4 and g(x) = 2 – x. Find the composition (f(g)) and its domain. Rep the…

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: a) Graph the parent function y = 2° and the transformed function defined by y = -2f(3(x – 1)) + 4.…

A: Given parent functions, y = 2x, Transformed function, y = -2f3x-1 + 4

Q: -7 -6 -5 -4 -3 1 2 3 J 4 5

A: We have a graph of f(x)We have to sketch graph of f'(x)

Q: Consider the following. y = (x − 6)2 + 1 (a) Tell how the graph of  y = x2  is shifted.

A: Please look at the graph below:

Q: The graphs of the functions y= f(x), y g(x), and y h(x) are shown below. Each function is…

A: Invariant points on the graph are those points which do not transform even whole graph is…

Q: Move the sliderk so that the graph of y = 2" gets shifted up 3 units. Then type the new function,…

A: We have to slide the k such that graph shifted 3 unit up.

Q: The graph below is of a function g'(x) for some function g(x) with domain (-∞0,00). It consists of…

A:

Q: Below is a graph of the function g(x). 6+ 5- 3, -9 8 -7 -6 -5 -4 -3 -2 -1 Identify whether each of…

A: We need to identify whether each of the values below is positive, negative, or zero. a) g'(-6) b)…

Q: The figure shows the graph of f. If F' = f and F(0) = 2, find F(b) for b = 1, 2, 3, 4, 5, 6. F(1) =…

A: The given figure

Q: Figure 24(A) is the graph of f(x) = x 2 , and Figure 24(B) is a horizontaland vertical shift of (A).…

A: The graph A of f(x)=x2 is

Q: The following image shows the graph of the function y = f(x) what is the new location of point…

A: The following image shows the graph of the function y = f(x) . We need to find  the new location of…

Q: 3. a) Given the graph of y = f(x) below, sketch the graphs of the three given functions by…

A: This question is related to Functions,  we will solve it using given information.

Q: 6) If the graph of y = /x is translate equation for this function. 7) If the graph of y =x' is…

A: (6) Translating up by 4 units results y=x+4 Translating new function to 5 units left results y=x+5+4…

Q: Use the graphs of f and g to evaluate g(f(2)) y 01 00 (-2,1) g (2,4) (2,-2) (4,3) X

A: We have to find out the value of g(f(2)) using the given graph.

Q: Fuel Used (liters/ 5+ 0 100 150 Speed (km/h) (a) Describe, in words, what you observe in this graph.…

A: A graph is given where Fuel used by a car is plotted against the speed of the car in km/hour. (a)…

Q: 5. Use transformations to sketch the function y=-3log10 (x-1) +2.

A: We have y=-3log10x-1+2 Now, if the original function is y1=log10x, then we apply various…

Q: Suppose a, b, c, and d are integers, and that a is negative and odd, b is positive and even., c is…

A: Ans:Suppose a,b,c and d are integers a is negative and odd, b is positive aand even, c is positive…

Q: If the domain of the function y = f(x) equals (-1,5] U [8, 10], what is the domain of the new…

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.