Suppose (4,-5) is a point on the graph of y=g(x) what is the point on the graph of y=g(x+7)-3 y=-2g(x-4)+5 and y=g(2x+10)

Q: Describe one similarity and one difference between the graphs of x2/9 - y2/1 = 1 and (x - 3)2/9 - (y…

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Q: Graph 2x + y = 1 and y = 2x + 1. How are they similar? How are they different? Show Your Work

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Q: 3. Find the point on the graph of the equation fx =x²-8 that is closest to the point 0,-2)

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Q: Graph x2/16 - y2/9 = 1 and xlxl/16 - ylyl/9 = 1 in the same viewing rectangle. Explain why the…

A: Given, the functions

Q: What are the points of intersection of the graphs of thefunctions f1x2 = - 3x + 2 and g1x2 = x2 - 2x…

A: f(x)=-3x+2 , g(x)=x2-2x-4

Q: A rectangle is bounded by the x−axis and y−axis and the graph of y=(6-x) / 2. What length and width…

A: The area of the rectangle is given by the formula, A=x·y Since the point (x, y) lie on the line so…

Q: Find the point on the graph of the equation fx=x²-8 that is closest to the point 0,-2|

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Q: y =* + 1 %3D Click to select points on the graph. 104 4 2 -10 -8 -6 -4 -2 4 6. 8. 10 -2 -4 9- -8 10…

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Q: Find the points of intersection of the graphs of the equations                             x2 + y2 =…

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Q: Find the slope of the graph of y = (3x - 1)3 - 4(3x - 1)2 at x = 0.

A: Slope of a graph at a point is determined by the value of the first derivative at that point. For…

Q: Sketch the graph of ×to the power of 2-2x-3=y

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Q: If (-2,b) is a point on the graph of 2x+3y=2 ,what is b?

A: x,y=-2, b2x+3y=2

Q: how do i plot -3y=-3 on a graph?

A: Given,

Q: 5x-2y > 20 3x+2y > 12

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Q: Sketch a graph of æ = - 3t + 1, y =t – 2. 5+ 4 -5 -4 -3 -2 -1 1 2 3 4 5 -2

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Q: Find the distance between A(2, -3) and the line L:3x - 4y + 2 = 0. Show your complete solution and…

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Q: what are the ordered pairs which are on the graph of -2x + 5y = -14?

A: Topic:- geometry

Q: Determine if the graphs of 3x - 2 = -5 and y - 3x = -2 are parallel

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Q: Estimate the x- and y- intercepts from the graph

A: Given graph is: The x-intercept is the point where graph crosses the x-axis. From the graph we can…

Q: The point (2, 4) is on the graph -fx), Find the corresponding coordinates of this point on the graph…

A: Use the given point to determine the corresponding coordinates for the other function. Make use of…

Q: Suppose the graph of y = 10x" + 6x- 4 is stretched horizontally by a factor of 3 and vertically by a…

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Q: - Sketch the graph of y=-4(x+4)² +4 and identify the axis of symmetry. *--4 x- -16 x- 4 x- 16

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Q: Why does the graph of x2 + y2=4x has it's center at point (2,0)? and not (0,0). And how to try to…

A: Here equation we have given is of a circle : x2+y2=4x.

Q: What is the relation of the graph of y= x² + 9x + 14 to a real-life situation – Area, Business, or…

A: Problem: You are an engineer building a suspension bridge. Your boss asked you to develop an…

Q: Find the point of intersection of the graph of the equations. x2+y2=1 -x+y=1

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Q: How does the value of a affect the graph of y = ax2 if a <=0?

A: It depend if a = 0 Or a is less than 0

Q: Sketch the graph of ƒ(x) = x2 + 4/2x

A: Given: fx=x2+42x graph of given function can be drawn as below

Q: Find an equation for the graph of the set of points whose distances from (6,0) and (-6,0) always add…

A: Given points are 6,0 and -6,0 Then by the definition it represents an ellipse where the foci are…

Q: The coordinates of the turning point of the graph of y x+ 4x + q are (-2,-7). The value ofq is (1)…

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Q: What is the graph of Y=-2x+0

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Q: Match the equation with its graph. 15x2 - 4y2 + 15z2 = -4 |

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Q: Sketch the graph of (x+2)^2=-3(y-2)  Label the vertex and the x and y intercepts.

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Q: Determine whether a) (3,-5) and b) (-2, 26) lie on the graph of Y=14-6x

A: Given equation is y=14-6x It can be written as y+6x-14=0 (a) We have to check whether 3,-5 lie on…

Q: Sketch a graph of - 2x 2y + 4 5+ 4 -5 -4 -3 -2 -1 4 -2 -3 -4 -5- 3. 3.

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Q: Sketch a graph of y = 2х + 2 51 -5 -4 -3 -2 -1 2 -1 -2 -3 -4 -5+

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Q: Match the equation with its graph. 15x2 - 4y2 + 15z2 = -4

A: Graph: - A function graph or "graph of a function," i.e., a plot, is referred to as a "graph" in…

Q: Sketch a graph of (æ +3) – (y - 3)2 =D1 - 4 7+ 6-

A: Given equation is the equation of hyperbola.   Therefore using basics of hyperbola, by comparing to…

Q: Draw the graph of 4x - 3y = 9 by first changing the equation to Slope-Intercept Form. %3D

A: we have to draw the graph of 4x-3y=9 by first changing the equation to slope intercept form. as we…

Q: 1. Find the y-intercept of the graph. -5 --5 5.

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Q: True or false: The graph of 2x - 3y > 6 includes the line 2x - 3y = 6.________

A: Greater than sign or greater than equal to sign are both different as with greater than sign we mean…

Q: Explain how to graph x2 + y2 = 1.

A: Given:Explain how to graph x2 + y2 = 1.

Q: How can i graph y=-1

A: The given equation of the line is,

Q: what the difference of y>2x-5 and y less than or equal to 2x-5? should i use a graph and just…

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Q: To draw a graph for y=3/4x+7

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Q: Does the point (2, 3) lie on the graph of y = 3x - 4? Explain?

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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.