The graph below shows a transformation of y = 2" %3D

Q: The graph of the equation y=x^4 has been shifted 8 units to the left and 3 units up. Write the…

A: answer is y =(x+4)4+3  explanation is given in below step

Q: Zach's body metabolizes caffeine at a rate

A:

Q: Find the exponential model that fits the points shown in the graph .

A: To find :               Write an exponential function that passing through the points (3,10 ) and…

Q: Sketch the graph of y = e-x.

A: We have to sketch the graph of the given function    The given function is   y=e-x

Q: 6- (1, 5) 3+ (5, 2) 2 1 +++ 1 2 3 4 5 6

A: y=Cekt, (1,5),(5,2)

Q: Find the exponential function y = Cekt that passes through the two given points. | = A y 8 7 (9, 7)…

A:

Q: 1 Sketch a graph of y 2* x – 1

A: The given equation is    y  =  (-1/2)x - 1    Slope  =  -1/2  Y intercept  =  -1  X intercept  =  -2…

Q: QUESTION 4 The graph shows the number of undeveloped acres of land in a region of the a city. Number…

A: from the given graph , the curve is in the decreasing so option (b) is correct answer. Remaining…

Q: The following is a graph representing a transformation on a parent function. -2 10 y = 00 8 6 2 2 -4…

A: Here we have to choose the correct option.

Q: y 4 -4 4 -2 -4 2.

A: We have to find the function in the graph, Also, find the parent function.

Q: Write an exponential function y = ab" whose graph passes through (1, 3) and (2, 15). O y = 0.6(5") O…

A:

Q: Find the exponential function y = Cekt that passes through the two given points.

A: Given that, y=Cekt             ...(1)

Q: Below is the graph of y= x . Transform it to make it the graph of y=3 x+1 +4. 6- 4- -6 -2 4 -2-

A:

Q: Use shifting graph to sketch a) y = 2 - |V3 – x| b) y = -1+5cos (x – n)

A: A function can be plotted using the basic graphs of the function. The function shifts vertically if…

Q: Below is the graph of altitude A(t) for a balloon that is rising and falling. 15,000 A(t) 10,000…

A: In the given graph we have to determine tmin and tmax

Q: Refer to Example 5 in Section 3.4. Geometrically, what does the expression 2x + h + 6 represent on…

A:

Q: graph a transformation of a trig functions a. y=-2cos2x  b. y=1+2sinx

A: To graph the trigonometric functions with the given transformations,  a) y = -2cos2x b) y = 1 +…

Q: 16. Graph using transformations. y=-3(x-4)' +2 Show each transformation.

A: Given function:                        y= -3(x-4)2+2

Q: A D Function "p" is in the form y = ax2 + c. If the values of "a" and "c" are both less than 0,…

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Q: . Horizontal shrink by a factor of and a vertical translation 3 units down

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Q: The graph below shows a transformation of y = 2".

A: Given,          An equation of the form y=A·2x+k for the graph shown below:

Q: Find the exponential function y = Cekt that passes through the two given points.

A: Find the exponential function y = Cekt that passes through the two given points 3,12 and 4,5.

Q: The graph of f(x)=/x is reflected in the x-axis, then shifted 6 units to the left, and 2 units…

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Q: H. The population is 900 in the beginning and will grow by 300 people during the next two years.

A:

Q: Let k eR and f(x, y) = x² + y² + kxy. If you imagine the graph changing as k increases, at what…

A: We have to find k such that the graph changing as ke increases, at what values of k does the shape…

Q: Find an exponential regression for the data above:

A: Given,  Year Price($) 2001 5.66 2002 5.81 2003 6.03 2004 6.21 2005 6.41 2006 6.55…

Q: A two-day environmental clean up started at 9AM on the first day. The number of workers fluctuated…

A: Given that the workers were paid 17 dollars per hour for work during the time period 9 am to 5 pm…

Q: Find the exponential function y = Cekt that passes through the two given points.

A:

Q: Graph the exponential functions (explain transformation(s) involved) a. y = 3*+1 – 2 b). y = - -)*…

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Q: The graph below shows a transformation of y = 2 5+

A: answer is in next step . please give a like !!

Q: Graph one cycle of the function y = 2cos3? + 1 as a set of transformations

A: Given function is y=2cos3x+1 We have amplitude is 2. Period is T=360°3=120° It means, at 120°, graph…

Q: The population of a colony of decreasing by 30% every three hours. The

A: Given, The population of a colony of bacteria decreases exponentially and decreasing by 30% every 3…

Q: The graph of a company's profit P(t) in dollars, at month t is shown. Complete parts a and b below.

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Q: Find the exponential function y = Cekt that passes through the two given points.

A: Given exponential function is y=Cekt. Given function passes through point 0,5 and 5,16. So, point…

Q: Find the exponential function y = Cekt that passes through the two given points. (1, 1), (6, 6)

A:

Q: Find the formula for above graph

A: Now Consider the given graph

Q: Below is the graph of y=x. Transform it to make it the graph of y = 3(x+ 1)+4.

A:

Q: Below is the graph of y= x Transform it to make it the graph of y= -2. 24

A: Given is the graph of y=|x|. The graph y=-12|x|-2 is the transformation of y=|x|. The transformation…

Q: Write an exponential function y = ab for a graph that passes through (2, 1) and (3, 12). %3D…

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Q: Graph the equation : y = √(x + 2) - 1; Use transformations of the graph ofy = √x.

A: Given: fx=x+2-1, gx=x graph of fx by using graph of gx can be drawn as below here, blue one is…

Q: 4. Graph the following set of functions on the set of same coordinate axis and explain how the…

A: We need to graph and find point of intersection.

Q: Below is the graph of y = f(x). Find / f(x)dx. Round your answer to three decimal places. 10 edit…

A: the given graph of the function y=f(x) is: we have to find ∫210f(x) dx. we have to round our answer…

Q: y -x+2

A:

Q: write an exponential function y=ab^x for a graph that passes through (2,1) and (3,4)

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Q: Graph x- t²- t+y on

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Q: Sketch the graph of the function. y = −4 csc 3x

A: Given: y=-4csc 3x

Q: Graph the equation shown below by transforming the given graph of the parent function. y = x + 3…

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Q: Q25) Use shifting graph to sketch a) y = |1 – Vx – 3| b) y = -1 – 5cos (x)

A:

Q: The graph of y = f ( x ) + k gives a   _______________ ["shrink", "vertical", "stretch",…

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Q: Challenge 9 -2 -1

A: Given that, There is a graph of many functions, We have to find the exponential function of dash…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.