Use the graph of y = g(x) shown below to answer the following questions. 31 2 2 4 -1 (a) Calculate g(2). (b) Solve g(z) = 2. (c) Calculate h(9(0)), where h is given by the table below (g(x) is in the graph above). -2 2 h(x) 5 2 3.

Q: 3 f(x) = (2-³1)³ + 2? T1. What is the x-intercept of the function: f 0x = 5 This function has no…

A: f(x)=3(x-1)2+2

Q: After you have explored the graphs for a while, consider the function f(x)=1−2sin⁡[4(x−30∘)] and…

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Q: The graph of y=1/6f(x−2)+8 is the graph of y=f(x)

A: Consider the graph of y=fx. Shift the graph 2 units to the right, y=fx-2

Q: S(3+h)-f(2) Q 4. Find given f (x) = 7x- 5 %3D

A: Introduction: The formula of the difference quotient is given by, f(x+h)-f(x)h. The derivative of a…

Q: 3. Consider the following matrix A: A = 0 1 2 110 422 For each value of λ given below determine if…

A:

Q: For the graph above, find f(-2) f(-2) =

A: Here Y = f(X) is representing the equation of the graph shown above.   We can clearly observe that…

Q: For the functions f(x) NOTE: Enter the exact answers (a) f(g(1)) = (b) g(f(1)) = (c) f(g(x)) = (d)…

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Q: Graph f (x) = x4 – 203 – 4.x2 + 2x + 3 as accurately as possible without using a calculator (Show…

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Q: Given that g(x) = 3x-1/x+2 and h(x) = 7x+1/5x-1 a. Evaluate g(3). b. Show that hg(3) = 61/35

A: We evaluate the following function

Q: -5x + 6 N-5x + 6 -1.095 0.004875 =1 1 0. 1 1.095 0.004875 6.

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Q: A botanist is interested in flower growth around the fields of her house. She finds the flower…

A: Growth function is given by G(x) = 20 -3xIn the graph, G(x) will be on y-axis and minutes will be on…

Q: Given the function f(x) 7x? 5x + 7. Calculate the following values: f( – 2) = f( – 1) = f(0) = f(1)…

A: Given :  f ( x ) = 7 x 2 - 5 x + 7

Q: The weekly profit P for a widget producer is a function of the number n of widgets sold. The formula…

A: The given profit function P=-3+2.1n-0.2n2, where P is measured in thousands of dollars, n is…

Q: I. Functions and Relations Solve the following functions. Show your solutions. Let f(t) = 1. f(x-1)…

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Q: Find a quadratic equation for a function y=f(x) which crosses the x-axis at x=5 and x=6, and which…

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Q: IV. Given the functions f(x) = 2x + 5, g(x) = -x² - 6x +7, and h(x) = the following. Show complete…

A: As per our answering guidelines we are allowed to solve only first three sub parts kindly repost…

Q: Consider the graph of the functions f(x)=(x−5)² and g(x)=−3x+13. What are the points at which…

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Q: given the function h(x) = - x/2 + 1 calaculate the values of h(-2) and h(3)  and draw a graph.

A: We have to evaluate the value of the function hx=-x2+1 at the points x=-2 and x=3. First we have to…

Q: Use the graph of y = f(x) to graph the function g(x)=2f(x-4) + 3. y = f(x) Ay ob 6 4 di S X

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Q: Where do I start when solving for x in this equation:…

A: We have4[ 2x - ( x + 3 )] = 6 (x - 9)4(2x -x -3) = 6 (x - 9)4( x - 3) = 6 (x - 9)

Q: A rock was slung from a sling shot off the top of a building. The height of the rock, relative to…

A: The height of the rock,r(t)=-16t-1.752+289r(t)=-16t-6t+2.5r(t)=-16t2+56t+240

Q: f(x) = 3x – 7 and g(x) = –2x – 6. Find (f o g)(4).

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Q: A ship is moving at a speed of 30 km/h parallel to a straight shoreline. The ship is 4 km from shore…

A: Given Information: Speed of the boat is 30 km/hr.  Ship is at the 4 km from the shoreline. To find:…

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.