Find the points on the ellipse x2/25 + y2/100 = 1 that are furthest away from the point (2,0). (Hint: Use the distance formula to write the objective function. Then use the equation of the ellipse as the constraint.

Q: Find an equation of the parabola with vertex (-2,-4) and directrix y=-9.

A: given vertex (h,k)=(-2,-4) h=-2,k=-4 directrix y=k-p=-9                  p=k+9                p=-4+9…

Q: directrix is x=2 and has a focus at (4,9).

A: Here we apply distance of any point of parabola from directrix and focus is same. We took a general…

Q: Graph the parabola. y? = 4x 12 10- 6+ 4+ ? -12 -10 -6 -4 -2 10 12 -2- -6. -8- -10 -12+ og

A: Given curve is a parabola  We have draw the graph of parabola.  Given parabola is a type of opening…

Q: The equation of a parabola is y = -x 2 -4x + 3 . Give the equation of the axis of symmetry of the…

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Q: Find the equation of the directrix of the parabola y=16x.

A:

Q: The surface of a mountain is modeled by the equation h(x, y) = 7500 – 0.001x2 - 0.004y2. A mountain…

A: Given the surface of a mountain is modeled by the equation h(x,y)=7500−0.001x2−0.004y2

Q: y = 3x² + 6x – 5

A: The function is y=3x2+6x-5

Q: Show, by completing the square, that the parabolay = ax2 + bx +c can be obtained from y = ax 2 by a…

A: The given equation of parabola is y=ax2+bx+c. Rewrite the above equation as follows.…

Q: Solve for the equation of a parabola with focus of (-1, -2) and a directrix y = -4. Show solution

A: the equation of a parabola with axis of symmetry parallel to x-axis when the directrix is of the…

Q: Which equation would shift the parabola down 3 units? A y=z² B y=z² +3 C_y=(z-3)² Dy=(z+3)²³ E =…

A: which equation would shift the parabola down to 3 units.

Q: Find the equation of the parabola that has the given conditions. Focus (6, -1); vertex (3, -1) A.…

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Q: Write an equation of a parabola that has a vertex (3, 8), opens downward, and is congruent in shape…

A: All the parabola having same distance between focus and directrix is called to be congruent .Suppose…

Q: The equation y = - 0.2x² + 2x, where y is the height in meters and x is the horizontal distance in…

A: Drone 1 :  y = -0.2x2 + 2x…

Q: 2. Find the minimum value of f(x) = %3D

A: We expert are supposed to do first question . We have to find minimum value

Q: Write in standard form the equation of a vertical parabola with its minimum point at ( 5.3, - 42.7…

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Q: Find the points of intersection between the line 4y - 3x + 12 = 0 and the ellipse 9x 2 + 16y 2 =…

A: The line 4y-3x+12=0 And the Ellipse 9x2+16y2=144 We need to find the intersection point of the line…