H(-7,-6) A(-6, -3) R(-5,-5) R'. D(-2,-7) D'_________ D'C H'C H'. A'( A' Rotate the figure below 180°, then state the new coordinates of its vertices.

Q: scribe how the graph of b is kept constant and

A: Hyperbola: The equation of hyperbola isy2a2-x2b2=1 a. We need to find relation between x,y and b…

Q: How would you create a parallel line that passes through a given point using rotation?

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Q: 3. Write an equation for the line tangent to the circle whose equation is (x+3)+(y-5)=169 if the…

A: Topic = Circle As per guidelines, At a time only one question can be answered out of multiple…

Q: Determine the focus of the parabola (y + 2)2 = -16(x 3). O(7.2) O(6.3) O (3,-2) O (1-2)

A: We have to find the focus of the given parabola. The solution is following.

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Q: 1. Find the equation of the curve passing through the focus of the parabola (opens downward and…

A: Given that parabola is passing through (3,0) (1,-1/2). (4,-1/8)

Q: Write the standard equation of a circle with the center at (-1, -4) that passes through the point…

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Q: Mini Task 5: Hyperbolic Basketball Ball People who play basketball do not think about hyperbolas…

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Q: Consider a parallelogram containing vertices at the following points: (5,2, 1), (2, 4, 3), and (0,q,…

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Q: 17. If the focus of the parabola is (-2, 1) and the directrix has the equation x + y = 3 then the…

A: Given Focus of parabola f (-2, 1) Equation of directrix is x+y =3   Here the objective is to find…

Q: -) For y.(x+ 3y - 4, deseribe the transformations from the graph of y x b) Sketch the graph of y -…

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Q: Find the focus of middle point chords of the parabola y² = tax, of whic Subtend a of the parabola.…

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Q: 82. Elliptical billiards: While an elliptical billiard table has little practical value, it offers…

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Q: Circle Y is given by the equation (+2)² + (y+6)² = 16. Which of the following is the graph of circle…

A: The given standard equation the circle is(x+2)2+(y+6)2=16

Q: In Problems ,the graph of an ellipse is given.Match each graph to its equation.

A: Vertex of ellipse: ±a, o  and  0, ±b for the following ellipse:x2a2 + y2b2 = 1

Q: 5. This is the graph of which equation? 4 + 3 (1, 3) 2 1(0, 1) -5 4 -3 -2 1 2. 3. 4 5 X -1 -2 + -3 4…

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Q: we have two parabolas and both have same directrix line, different focus points. How do we know…

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Q: Sketch and identify the graph of the equation x² + y² – 2y – 3 = 0 in 3D.

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Q: A circle with a center at (2, -3) passes through the point (-1, -8). Write the equation of the…

A: Our Aim is to write the equation of a circle with a center at (2,-3)passes through the point…

Q: Graph x = 2 and y = 3 and z = -3 in a 3-D rectangular coordinate system.

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Q: 6. Graph each of the following y = 2x + 1 (i) in R² (Cartesian coordinate system) and (ii) in R³…

A: The objective is plot the given curve in 2D as well as in 3D.