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Q: (a) On the grid below, sketch a cubic polynomial whose zeros are 4, - 2, - 2 and passes through the…

A: The given question is solved below.

Q: A rope bridge crosses a ravine that is 100 feet wide. The bridge drops down from the edge to a low…

A: Given that the equation of the bridge is: y=1250(x-50)2-10  If I am 30 ft from the left end, then…

Q: Graph the following equations. State the domaln and range. 1) y = 3(x - 3)^2 - 8

A: As per our guidelines only one question can be solved. The solution is given below in the next step…

Q: Express 4x^2 + y^2 + 9z^2 + 8x − 4y − 18z − 19 = 0 to its standard form. Also, sketch and name the…

A: Given equation is: 4x2+y2+9z2+8x-4y-18z-19=0 Rearranging the terms we get,…

Q: How do you find the intersections of a parabola and root function?

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Q: Write an equation (any form) for the quadratic graphed below

A: The general equation of a parabola which is concave upwards (i.e. axis of the parabola is parallel…

Q: Sarah dove off a diving platform into a pool. The dive as she returns to the surface can be modeled…

A: The modeled equation is:y=0.75x2-8x+15

Q: Write the equation of the parabola that has the same shape as f(x) = - 6x? but with vertex ( - 5,3)…

A: In this question we have to write the equation of the parabola that has the same shape as f(x)=-6x2…

Q: A human slingshot was used to launch a stunt  man into the air across two football fields where he…

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Q: Sketch the graph of x^2 + (y + 1)^2 = 34. Find the exact coordinates of the equation’s x-intercepts.…

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Q: Explain how to decide whether a parabola opens upward or downward.

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Q: If you are given the roots of a quadratic function, what other information is needed to determine…

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Q: What is cubic equation

A: A cubic equation is an equation whose highest degree is 3.

Q: Which point is the vertex of the parabola y = 6(x+3)^2 - 5?

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Q: Describe how to graph x2/25 + y2/16 = 1.

A: The given equation to graph is  x225+y216=1 The general form of ellipse is  x-h2a2+y-k2b2=1 where…

Q: When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of…

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Q: For the month of May, the number of mosquitoes hatched over 2 weeks in Minneapolis, Minnesota ( in y…

A: The number of mosquitoes hatched over 2 weeks in Minneapolis, Minnesota is modeled by  y=−x−52+25…

Q: Graph the quadratic (parabola). Y=-x^2+x+6

A: We have to draw the graph

Q: Find the equation of a parabola whose latus rectum is joined by points (2, 1) and (-4, 1)

A: Use equation of parabola

Q: Find the equation of the line normal to the parabola y = x2 - 6x + 12 perpendicular to the line that…

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Q: Describe the transformation from the cubic parent function, and graph the equation y=(x-2)^3+5

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Q: a) Create an equation in factored form that satisfies the following: • has an odd degree; • has…

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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.