1. Given the graph of (a) f(x) = In x, and the new graph (b) g(x), as shown in the figure below (b) (4) 10 12 14 16 Write g(x) in terms of x, if g(x)is obtained by translation of f(x) shifted right 5 units then upwards 2 units. Then find the x and y intercept(s) if any for g(x). Show all working steps

Q: Draw the graph of f(x) = mm. 6+3 10+ STAT ~~ 10-9-8-7-6-5 -4 -3 -2 -11 SE -9 0 4 5 6 7 8 9 10

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Q: 14. The graph of y=3" is stretched horizontal by a factor of and translated 2 units down. The…

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Q: 4. 2 10-8 -6 -4 -2 0 4 6 8 10 -2 -4 -6 -8 -10 Match the graph with its function by translating the…

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Q: 3. Discuss how to transform the graph of y = x2 in order to obtain the graphs of #2a and #2b above.…

A: 3(a):

Q: Fill in the blank with the appropriate direction (left, right, up, or down).

A: Given: The graph of y=f(x)+3 is obtained from the graph of y=f(x) by shifting ..... 3 units. The…

Q: 58. a. Graph f(x) = |x| for x < 0. b. Graph g(x) = Vĩ for x= 0. Skrl for x < 0 Vĩ for x2 0 %3D c.…

A: a) fx=x, for x&lt;0 b) gx=x for x≥0 c) hx=xfor x&lt;0xfor x≥0

Q: 2. Use the graph below of y = f(x) to answer the following question. point 8 4. point 1 point 2 3 2.…

A: To answer the given function using the given graph.

Q: Given this graph of y = f(t): -1 -2 -3 if A(x) | f(t) dt then: А(1) А (1) -

A: In this question we have to find A(1) and A'(1)

Q: 9. Sketch the graph of f(x) = (x - 3) (x+ 2)³ and find the following if they exist (if it does not…

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Q: 7. Sketch the graph of each of the following. (a) f(x, y) = 6 – x – 2y (b) f(x,y) = 6 – x²

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Q: Find & from the graph of y = f(x) = x² below: y = x^2 1.44 1 0.56 x1 x2

A: We have  y = f(x) = x2

Q: 5] Sketch the graph of r(t) = and show the direction of increasing t.

A: Sin(t) is increasing function from 0 to 90 degree. So that t will increase in the anticlockwise…

Q: following conditions: a. f(2)=f(4)=0 b. f'(x) 0 if x > 3 e. f''(x) < 0 if x (doesnt equal) 3

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Q: use the graph of y=f(x) to graph g(x)=2f(x-1)+1 given the coordiantes (-4,0) (-2,-2) (0,0) (2,2)…

A: xf(x)-40-2-2002240   let us take x = -3, -1, 1, 3, 5 x   x-1      f(x-1)     g(x) = 2f(x-1)…

Q: 10) Find the end behavior of the given graph. As x→-00, f(x) As x→ 0, Ht) 恩) 00,

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Q: Suppose ​(−1​,1​) lies on the graph of y=​f(x). Determine a point on the graph of y=​g(x), where…

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Q: 8. Given (x) - x', sketch the graphs from y = f(x) to 1 1 (x + 6) 2 (x - 5 = -

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Q: 3. Label the graphs as f(z) or g(z). f(z) = 0.4" and g(x) = 0.2 %3D y A. B. $ -4 -3 -2 -2 4 5- a.…

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Q: Given the graph of y=f(x) below, at which of the marked xx-values can the following statements be…

A: topic- graphs and functions

Q: {2*+1 if x<0 etch the graph of f(x)=X+3 EO

A: We will graph the problem.

Q: x2 – 3 y = 2х — 4

A:

Q: Given f(x) = 2x + 5 when x cannot equal 1, and f(1) = 6. a) Sketch the graph of f. b) For wha…

A: Firstly , we draw the graph of the given function and after that find the value of 'x' .

Q: 1 then shifted to the left 3 units and down 2 units. 2 b. The graph of f(x) Vr is horizontally…

A:

Q: 1. How does the graph of f (x) = vVx – 2 differ from the graph of y = Vx+ 3 ?]

A: The value of sqrt(x-2) is differ from the value of sqrt(x+3).

Q: let p =(x,y) be a point on a graph of y=x2-5 using a graphing utility to graph d=d(x) in order to…

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Q: In sketching the graph of y=f(x) = – 3cos +)+4, we translate the graph of y = - 3cos s 5 by 4 units…

A: Transformation of graph

Q: Sketch the graphs of f(x) = 2* and g(x) = 3(2*). y y 3.0 3.0 2.5 2.5 2.0 2.0 1.5 1.5 1.0 1.0 0.5 0.5…

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Q: If f(x) = ax4 + bx3 + cx2 + dx + e, determine a, b, c, d and e so that the graph of f will have a…

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Q: The graph of y = f(x) is graphed below. What is the end behavior of f(x)? 300 250 200 150 100 50 -10…

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Q: 1. Consider the graph of y= f(x).

A: By graph we can see that f(x) is below x-axis when x is belongs to (6, 12).

Q: 18 1. Given the graph of the function y, determine the (Note: The curves between x = 4 and x = 6,…

A: Find your answer below

Q: Use the graphs of f and g to graph h(x) (f + g)(x). (Graph segments with closed endpoints.) y 3 2 1…

A: Finding the graph of (f+g)(x) from the conditions given

Q: 19. Suppose the graphs of f (æ) = x² and g (æ) = 2" are drawn on a coordinate grid where the unit of…

A: We have to show that at a distance 2 ft. to the right of the origin, the height of the graph of f is…

Q: We found that the marketing research department for the company that manufactures and sells memory…

A: Given, Price demand function = px =90-4x  Revenue function = Rx = xpx = x90-4x   Where x in millions…

Q: On weekends and holidays, an emergency plumbing repair service charges $60 for the first 30 minute…

A: According to the problem, we need to plot the graph of the function C(x) for 0&lt;x&lt;=90. So, 1st…

Q: 2. The graph of y = x² is transformed oy = 0.5x². Determine the coordinates to which the original…

A: Topic:- function

Q: The graph of g(x) = 0.5xf(x) - 1 is the graph of Y f(x) %3D O vertically stretched by a factor of…

A: The graph of g(x)=0.5x f(x)-1 is the graph of y=f(x)

Q: 1 2. Given the graph of y = f (x), sketch a clearly labelled graph of y = f (x) on the same set of…

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Q: Determine at what point(s) the graphs of f(x) = /2r+6 and g(z) = vAz – 8 intersect. Let f(z) = (10r…

A: Let us consider, To find point of intersection, solve these two equations:

Q: Question 37 from Exe 4. sketch the graph of the function 87. g(x) 4-3x-2r (x)=D4-3x-2x^3 .Question…

A: In this question we will use basic of calculus i.e curve scratching. First we will find the…

Q: 39. Show that the graph of y = f(x – b) is obtained by shifting the graph of y = f(x) to the right…

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Q: 1. 2. 3. 4. 5. 6. Match the function to its graph. z = x? – y? 1. | Z = x 2. 1 1+x?y² z = x? + y? 6.…

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Q: (a) To obtain the graph of g(x) = 2* – 1, we start with the graph of f(x) = 2* and shift it %3D…

A: The graphs of y = 2^x - 1 and y = 2^x are given as follows: The red colored graph represents the…

Q: A reflection in the x-axis of the graph of y = f(x) is represented by h(x) = ________, while a…

A: Since, we know that the reflection of point (a,b) in x-axis is (a,-b)and the reflection of point…

Q: Q1) Use shifting graph to sketch a) y = 1- |V2 – x| b) y = -1+ 5sin (2x)

A:

Q: 55 43 3+ kt 410 -8 -7 -6 -5 -4 -3 -2 -1 -14 -2 -3 2 3 4 5 6 7 8 9 10 the graph of y = f(x) is shown…

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: The graph of y = f(x) is given. y 7 2 1 6 5 4 3 2 -7 -6 –5 –4 -3 -2 1 1 2 3 4 5 6 7 8 -1 -3 5 Match…

A: We are given an image of graph for a function 'f' and we need to answer some questions on the basis…

Q: Prove that the graph of the function y = x² −3+1/x has at least two x-intercepts in (0,2).

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Q: Q1) Use shifting graph to sketch a) y = 1-|V2 – x| b) y = -1 + 5sin (2x)

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Q: Use the graph of gxgiven in the figure below and the fact that g(0) = to select the correct graph of…

A: Given,Graph of g'(x) and g(0)=50 To find: Graph of g(x)              Coordinates of all critical and…