Describe the graph of the equation. r = -6i + tj + (12 – 1) k O It is a parabola in thex = 6 plane, vertex at (6, 0, - 1), opening upward. O It is a parabola in the x = 6 plane, vertex at (6, 0, – 1), opening downward. O It is a parabola in the x = -6 plane, vertex at (-6, 0, - 1), opening to the right. O It is a parabola in the x = -6 plane, vertex at (-6,0,- 1), opening downward. O It is a parabola in the x = -6 plane, vertex at (-6, 0, - 1), opening upward. Find exactly T(1) and N(t) for x = e'cost, y = e'sint, z = e' for i = 0. [Choose the correct answer.] O T(0) = V3 a +j+ k) and N(0) = -i+ %3D V2 (i+j+ k) and N(0) = (i - Vali – j) O T(0) = O T(0) = V3 (i-j+ k) and N(0) = -i – j) V2 O T(0) = i -j+ k) and N(0) = i + V2

Q: Describe the graph of the equation. r = -17i + (1 –² )j+tk O Itis a parabola in the plane x = - 17,…

A: We will find values of x, y and z .Then find equation of curve

Q: Write an equation of the parabola in vertex form. AY 8. (-2, 6) |(-1, 3) 4 An equation of the…

A: Equation of the parabola

Q: Write an equation of the parabola in vertex form that passes through (13, 8) and has vertex (3, 2).…

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Q: Write an equation of the parabola in intercept form that passes through (0, - 18) with x-intercepts…

A: Intercept form of parabola if given by: y=a(x-p)(x-q)  where p and q are x-intercepts.

Q: The equation of the axis of symmetry of a parabola is x 2. If the parabola intersects the x-axis at…

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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: Describe the graph of the equation. r = -5i + (1 - ²)j + tk O It is a parabola in the plane x = -5,…

A: Given equation is in parametric form . We will find equation in cartesian form and then conclude…

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

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Q: Incorrect. Describe the graph of the equation. r = -9i+ (1 – t² )j+t k O Itis a parabola in the…

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Q: Find an equation for the parabola. y A В C A (x+2)2 = - 2.67(y – 1) B -2.67 (x+2)2 = y+1 (x- 2)2 = -…

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Q: Which parabola has a vertex at the (0, 3) and opens to the right? Oy=x²+3 y = -(x + 3)² Ox=y²-3 O x…

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Q: Write an equation of the parabola with its vertex at (x, y) - (3, 9) and focus at (x, y) (3,-2).

A: The parabola has vertex at (h,k)= (3, 9) and focus at (h,k+a)= (3, -2) Hence axis of symmetry is x=3…

Q: Find the equation of the hyperbola with vertices (-4,7) and (-4, –9) and foci (-4, 8) and (-4, –10).…

A: A detailed solution is given below.

Q: Find an equation of the parabola with vertex (-4,-5) and focus (1,-5)

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Q: Enter the correct answer to complete the following sentence.   The graph of x^2+(y−6)2=9 has center…

A: the given graph is equation withx2+(y-6)2=9

Q: Find the vertex and directrix of the following parabola. x 2 + 24y – 24 = 0

A:

Q: Find the vertex of the parabola by applying the vertex formula.f(x) =  2x 2 - 48x - 87 Select one:…

A: The objective of this question is to find the vertex of the given parabola. The vertex of a parabola…

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

A: We will find out the required value.