Question 1 (10 points) The graphs of y = fx) and y = g(x) are shown. Evaluate -2) - g(-3) . y3g(x) 1 -5 H-3 -2

Q: 4 -47 -37 -27 27 -2 -3 -5- -6 +7 Write an equation for the graph above. f(x) = %3D

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Q: Questions 6. As a result of the transformation of the graph of y = f(x) into the graph of…

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Q: 10 -10 10 Find the equation of the function in the graph. A) y=x B) y= \x| y=x D) y=x?

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Q: 4, r-2

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Q: The accompanying figure shows the graph of y = -x2 shifted to two new positions. Write equations for…

A: Given :             The graph of y = -x2.   To find the equations for the new graph obtained by…

Q: 2. Graph y-√x, y-2√x and y-√2x on the same set of axes. State the domain and range of all three.

A: Here, the three functions are y=x, y=2x, y=2x

Q: The accompanying figure shows the graph of y = -x shifted to two new positions. Write equations for…

A: The red curve shifted 4 units to right from the blue curve.  So, the equation of the red curve is…

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: Question H An athlete whose event is the shot put releases a shot. When the shot whose path is shown…

A: Given infromation:An athlete whose event is the shot put release a shot. When the shot whose path is…

Q: 5. Based on the graph below the equation Vx-5=-2 has no solution What could an EXTRANEOUS solution…

A: Given:      Equation x-5=-2    squaring on both sides              x-52=-22               x-5=4…

Q: 10- 4 10 -8 -4 -2 -2 8 10 -6 4 6 -4 -6 -8- -10- Write an equation for the graph, where y depends on…

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Q: If the point 12, 32 is on the graph of an equation in x and y,then the equation is satisfied when we…

A: The Point (2, 3) is on the graph of an equation in x and y

Q: h(x) : 5x (x - 6)(x + 8) %3D Describe the behavior of the graph of h(x) as x t0o.

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Q: On a separate page, sketch a graph of the equation x E-space. Suppose you are observing the…

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Q: The point (2, – 1) is on the graph of y = f(x). The corresponding point on the transformed function…

A: Point (2,-1) lies on y =f(x)

Q: 57. (a) y = -f(x) (b) y = f(;x) (c) y = 0.5f(x) (d) What symmetry does the graph of y = f(x)…

A: We are entitled to solve first three subparts of the question so, I am providing you an answer of…

Q: -2 -10 1 3 y 0 2 6 2 b) The graph of y x2- x is drawn on the axes on the left. Use the graph to…

A: The graph of a function is the collection of ordered pairs of x and y in the cartesian coordinate…

Q: The accompanying figure shows the graph of y = -x² shifted to two new positions. Write equations for…

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Q: 3. y= -x + 2x2 -2x + 4 A Leading Term B. End behaviors Sketch of the Graph: C x-intercept/s D.…

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Q: The graph of y=a+ b crosses the y-axis at y = 30 and the crosses the x-axis at %3D (x+c) x = 3 and x…

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Q: 4- 3- -5 -4 -3 -2 -1 -2 -4 -5+ Select all the points at which the graph above is differentiable -4

A: Ans :  All the points at which the graph above is not differentiable  Where graph has sharp point…

Q: x - x – 2 a. Graph f(x) and g(x) = x +1 in the = х — 2 same viewing rectangle. What do you observe?

A: We graph f(x) as Note that, the function is not defined at x=2.

Q: Question 11 The point (17, - 3) is on the graph of y = f(x). 1 a) A point on the graph of y = g(x),…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 8) The equation of the graph shown is Slide RED circle in front of correct answer. 3. y= x(x- 1)(x →…

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Q: 1/5 . Part I. Graph the following piecewise equations. Then answer the questions If there is no y…

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Q: -5 -4 -3 -2 Select all the points at which the graph above is not differentiable -4 -3 -2 -1 1 4 3.…

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Q: 10. The point (2, 6) is on the graph of y f(x). What are the coordinates of the point on the graph y…

A: If the graph y=f(x) having coordinates (x,y) is multiplied by the constant c the coordinates of the…

Q: 19. y 4 3 I -2 -1 1 The figure above represents the graph of A y = x? B y = x? – 1 C y = x? + 1 D y…

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Q: Example 2: Draw the graphs of y, =x and y, = e" on the same coordinate's axes. Estimate the root of…

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Q: Question 15 The point ( – 8, 4) is on the graph of y = f(x). a) A point on the graph of y = g(x) ,…

A: As per our guidelines we are allowed to do 1 question at a time and max 3 subparts at a time. Please…

Q: -5 -4 -3 -2 -1 3 4 -2 -3 -5 Complete an equation for the function graphed above y%3D !! Enter abs(x)…

A: Here it is given the point of the graph are: (-1, 4), (0, 3), (1, 2), (2, 3), (3, 4) Now we have to…

Q: Question Determine whether the graph of the equation is symmetric with respect to the y-axis, the…

A: Explained below

Q: 5. Analyźe Mathematical Relationships (1)(F) How are the graphs of y = -x2 and y=-x + 1 similar? How…

A: Topic = Functions Both graphs are not similar, both are different in vertical shift by one unit.

Q: 5.) a y= 9f(b(x4)) +k a, b,4, and k ex plain graph f (x) What

A: To find what does a,b,h,k represents while transforming a function by transformations from its…

Q: (a) The graph of y = f(x) is shown. Draw the graph of y = -f(x) +1. 4. 2+ -8 -6 4. -6-

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Q: 5. a) Sketch a graph with the following characteristics: • A-3) = 16, A3) = 0, and A-1) = 0…

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Q: a) What point is guaranteed to be on the graph of y = -2f(4x)? The graph of the function y = f(x)…

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Q: 9-22. Sketch a graph of y=-x'(x-2)'(x+2). 9-25. What is the length of the side labeled x? Write your…

A: To graph the equation

Q: 12) Graph h(x) = -3(x+ 2)² + 9 by determining whether its graph opens up or down and by finding its…

A: Given: h(x)= -3(x+2)2+9  Compare the given function with f(x)=a(x-h)2+k. It represents a parabola.…

Q: 5 What is the equation of the graph below? sohtions A f(x) = I x + 4 I + 2 B f(x ) = I x - 4 I + 2 C…

A: Given graph:-           To find:- Equation of given graph

Q: 75 50 25 -3 -2 –1 1 7 8 -25 -50 -75 Figure 1: Sketch of the graph of y = f(x) 3.

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: (a) The graph of y = g(x) is shown. Draw the graph of y=-g(x+1). 6 ?

A: We are authorized to solve only one question, please repost remaining questions Graphical…

Q: 2. The points (-20,10).(0.20), and (40,–75) lie on the graph y = f (x). Determine three points that…

A: Introduction: Graph transformation is the process of modifying an existing graph or graphed equation…

Q: 3. The point (2, 3) is on the graph of y = f(x). Determine the corresponding coordinates of this…

A: This is a basic function problem

Q: 2. y (x²-5)(x– 1)²(x– 2)³ Sketch of the Graph: A. Leading Term B. End behaviors x-intercept/s D.…

A: Given: y=x2-5x-12x-23

Q: Suppose the point (1, 2) is on the graph of y = g(z) What point must be on the graph of y = g(4x)?…

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Q: 3. 6. The graph of y = f(x) is given. Match each equation with its graph a. y = f(x-4) b. y= f(x) +3…

A: I am attaching image so that you understand each and every step.

Q: The graph of an equation is shown below.(a) The x-intercept(s) are , and the y-intercept(s)are .(b)…

A: x-intercept of y-intercept is the point at which the graph cuts the x-axis and y-axis respectively.

Q: Where is the graph not differentiable? a. x = -2, -1, 0 b. x = 0 c. x = -2, -1, 0, 1 d. x = -2, -1,…

A: Given query is to find where graph is not differentiable.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.