function f is given, and the indicated transformation is applied to its graph. Write the equation for the final transformed graph. f(x) = (the squareroot of x);  shift 4 units to the left

Q: -(x) u'00-x n(x) = -2(x-3)(3x-2)°(r+4) Determine the end behavior of the graph of the function.

A: We will use limit to find the results

Q: f. h(x)= 2f(x)

A: Topic-scaling

Q: The graph of function and its inverse is always symmetric to a. horizontal line b. y=x line c.…

A: The solution is given below

Q: Determine the end behavior of the graph of the function. m (x) = – 4(x+1)(3x- 2)²(x+ 5)ª As x → -…

A: Recall: The end behavior of a polynomial function is the behavior of the graph of f(x) as x…

Q: Write an equation that represents the given transformations of the graph f(x)=|x|

A:

Q: Find the slope of the graph of the function at the given point.

A: We have the given function as fx=27x3            ⋯⋯1 In order to find the slope of the given…

Q: Use transformations of the graph of y = x4or y = x5 to graph each function.

A:

Q: The graph of y = V 5x - x- is given. y= V5 x – x² 2.5 5 Use transformations to create a function…

A: given that the function y=5x-x2 is transform  Left shift by 7 unit. Amplitude reversal. Amplitude…

Q: --3log[-2(x- 1)] + 4.rrr 2. List the steps and explain the effect of each transformation to graph…

A:

Q: Graph the function by hand, not by plotting points, butby starting with the graph of one of the…

A: The given function is the quadratic function. By completing the square method, we can write this…

Q: Identify the a, k, d and c values. List the transformations applied to the graph of f(x) to y = -fHx…

A:

Q: Find the slope of the graph of the function at the given point.

A: Given function is  To find the slope of the above function at (1,4)

Q: 1.0 1,0 -6 6.

A:

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

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

Q: Graph the function by hand, not by plotting points, butby starting with the graph of one of the…

A: Given: y = 1 – 2 x + x 2   To sketch: The graph of  y = 1 – 2 x + x 2 using transformations.

Q: Graph the following transformations of your parent function y = |x| ソ=k+ ソ=ー

A: For y=2|x+1|, the parent function y=|x| is shifted left by 1 unit and contracted by 2 units. So, the…

Q: For each parent graph, describe the transformation(s) that have taken place in the related graph of…

A:

Q: (b) Suppose the graph of f(x) is given. Write an equation for the graph of newly transformed f(x),…

A: Consider the function fx. The graph of the function fx+a is a function with the graph shifted a…

Q: Start with the graph f(x)=4^x. Then write a function that results from the given transformation.

A:

Q: For Exercise, graph the functions by using transformations of the graphs of y = - and y = h(x) = + 2

A:

Q: 1. Describe the transformation needed to graph the following function. f(x) = -4/2x - 6 + 7

A: Given query is to find the transformation applied.

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

A:

Q: On the same set of coordinate axes,(a) graph the functions f, g, and f + g and (b) graph the…

A: Consider the function: fx=12x, gx=x-4. Find f+gx. Since f+gx=fx+gx. Therefore,…

Q: Write the equation for the final transformed graph. f(x) = |x|; shrink vertically by a factor of…

A: NOTE: Refresh your page if you can't see any equations. . the base function is  the graph is…

Q: The graph of the function y = V 5x – x2 is given. Use transformations to create a function whose…

A: The given equation of the function is The graph of the given square root function starts at x=0 and…

Q: Given the function g(x) = 4x, describe the transformations of the graph g(x) = 4X - 2.

A: Given g(x)  =4x Transformation of the graph g(x) =4x -2

Q: Start with the graph of  f(x) = 5x.  Then write a function  g(x)  that results from the given…

A: The graph of the given transformation is given.. To shift a function left, add inside the function's…

Q: Use transformations of the graph of y = x4or y = x5 to graph each function.

A: To graph the function: fx=x-15+2

Q: State the transformation that occurs and then sketch of function f(x) = Vx-1+4

A:

Q: Start with the graph of f(x) = 3*. Then write a function g(x) that results from the given…

A:

Q: Start with the graph of  f(x) = 5x.  Then write a function  g(x)  that results from the given…

A:

Q: The graph of y=−(x+5)3 is the graph of y=x3 with which of the following transformations?

A:

Q: Graph the function f(x) = -x + 10x by starting with the graph of y=x and using transformations…

A:

Q: Graph the function by hand, not by plotting points, but by starting with the graph of f (x) = x² and…

A:

Q: List all the transformations that would occur to the parent function f(x)= x^2 to obtain the graph…

A:

Q: Given the parent function f(x) and descriptions of the transformations, write the equation of the…

A: Given the parent function f(x) and descriptions of the transformations, write the equation of the…

Q: 9. F(x)= f(x)–3 %3D

A: We are given the graph of f(x) Now F(x) = f(x) - 3 means that we are shifting the curve f(x)…

Q: Use translations to graph the given function. h (x)=/x+3

A:

Q: For each parent graph, describe the transformation(s) that have taken place in the related graph of…

A: the given function is y=4(x-2)2

Q: Draw a machine diagram for the function.

A: To draw a machine diagram for the function                                                fx=3x-2…

Q: Use transformations of the graph of f(x) = x to determine the graph of the given function. Ay 10…

A: Please refer the attached image for complete solution.

Q: Write an equation of the function g(a) that is the graph of f(x)3D|, but shifted right 4 units and…

A:

Q: The parent function f(x)=2 ^x and its transformation g(x)= 1/2 x 2 ^x are shown on the graph below.…

A:

Q: Write the function whose graph is the indicated transformation of the graph of f (x) = |x|. g is…

A: The given function of graph is fx=xUsing the transformation on f(x), it is needed to find g(x)

Q: Write an equation that represents the function graphed in blue by using transformations from y = VI.…

A: Consider the given graph. The green curve represents the graph of the function y=x. We have to…

Q: y = /x²(x + 1) 3 %3D

A: We have to graph of the function                                                    y=x2x+13

Q: The graph  is in a transformation of the function f(x) =|x|. Write an equation for the function…

A:

Q: y = -0.2 (x−5) -6

A: Consider a function y=0.2x ......(1) The graph of the function is

Q: For each parent graph, describe the transformation(s) that have taken place in the related graph of…

A:

Q: Graph the following transformations of your parent function y = |x| y

A: The given functions are 1. y=x-42. y=x+9

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.