Q3) Let f(x) = x2, draw the graph of (x + 2)2, what is type of this shifting and what is the value of its.

Q: Sketch the graph of f′. Explain how you found your answer.

A: The given graph is a semicircle with radius 2, so the equation is y=√4-x². The slope of the graph is…

Q: Choose the answer

A:

Q: Rewrite g(x) 2) in the form g(x) a2* * + c where a, b and e are all 2 to sketch the graph of y=…

A:

Q: a) Is the function f(x) = x + odd, even or neither

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. The point (-15, 12) is on the graph of y = f(x). Determine the coordinates of the image of this…

A: Here we have to find the image of the given point.

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: y (2,5) 4- 3- (1,3) 2- 1(0,1) -3 -2 -1 1 2 (-1,-1) -1- -2- (-2,-3) [-2, 21 3.

A:

Q: Sketch the graph of f′. Explain how you found your answer.

A: we can observe that equation of given curve is like fx=mx;m>0 now we have to find f'x

Q: 2. The graph of f computes the number of gallons of water in a tank after t minutes. Estimate each…

A:

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: Sketch a graph of f(x)=x-1 if x ≤-2 if -2 1

A: The function is given as  f(x)=-3        if   x≤-2x-1     if   -2<x≤1-2       if     x>1.

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: Make a Graph as x 0, f(x)-1 as x 0, f(x) →-2 as x →2, f(x) →2 as x →2+, f(x) →0 Bonus f(0)=-1 f(2)=1…

A: To create a graph with the given conditions using Python, we can use the `matplotlib` library.…

Q: Draw the graph of f(x) = -(²¹) ² 2

A:

Q: Suppose that a line passes through the points (5, 2) and (-1, -3). Where will it pass through the…

A: Topic = Coordinate Geometry

Q: 12) Consider the graph of a function y = f(x). What x-value corresponds to y = - 4. -2 -4-2 0 246 a)…

A: The solution is given below

Q: (-10,3) 23 (-2-1-0) -16 (-12,-3) (-8,0) (+3,-1)/ (-6,-5) 61 (1,0) (3,2) -6 (0, -1) (-4,-3) (5,0) y =…

A:

Q: Sales y (in thousands of dollars) decreased steadily then increased steadily, as shown in the graph…

A:

Q: Create a single graph that has all of the following key features. 1. End behavior: as I -00, f (x) →…

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.