Describe the graph of the equation. r = 8sin 14ti – 8cos 14tj O It is a parabola in the xy-plane, with vertex at the origin. O It is a circle of radius 14 in the xy-plane, with center at the origin. O It is an ellipse in the xy-plane, centered at the origin, with major axis of length 8. O Itis a circle of radius 8 in the xy-plane, with center at the point (14, 14). O It is a circle of radius 8 in the xry-plane, with center at the origin.

Q: Find an equation of the parabola with vertex (4, 2) and focus (4, 6).

A: Given :              Vertex (4,2) and focus (4,6)       Since the vertex and focus have common…

Q: Find the equation in standard form of the parabola with focus (2, -3) and directrix x = 5.

A: The parabola with focus 2, -3 and directrix x=5. To find the equation of the parabola.

Q: 5x² - 7y² - 5z² = 1

A: The equation is

Q: Determine whether this is a parabola: y = 5a + 80x + 321 . O Parabola Not a parabola If it is a…

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Q: State whether the equation x² + ()² + 6z² = 1 defines O a hyperboloid of two sheets. O a paraboloid…

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Q: 2. Graph the parabola given by the equation, put it into standard form, and identify the vertex,…

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Q: Which of the following is an endpoint of the latus rectum of the parabola with vertex (4,-2) and…

A: Topic= Parabola

Q: Find the equation of the following parabola. Express your answer in standard form. 20 -15 -10 -5 15…

A: The standard equation of the parabola is written in the form ofy=ax2+bx+c

Q: Write an equation of the parabola in vertex form. (8,3) 8 (4,-1) 4 An equation of the parabola is y…

A: Equation of parabola which open upwards or downward in the vertex form is y=a(x-h)2+k  here (h,k) is…

Q: Find the length of the hyperbola. (y-2)2/ 9 - (x+1)2/4 =1

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Q: Identify a and b for the hyperbola with equation

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Q: Find an equation for a parabola with vertex (-6, -5) and focus (-2,-5)

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Q: 10. Two corners of auxiliary rectangle at (-4,-7) and (0,0), vertical transverse axis

A: The diagram of the hyperbola having given conditions is shown below. Calculate the center of the…

Q: 2. Find the vertex, focus, and directrix of the parabola. Then sketch the graph. (x − 3)² = 8(y + 1)

A: Solution:

Q: equation for the parabola t

A: The vertex and focus is given and we have to find an equation for the parabola. vertex at the origin…

Q: variable circle through the origin and touching the hyperbola xy = c

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