1. A parabola with directrix y = 51 59 and one endpoint of the latus rectum at (--) 32

Q: Use the Difference Quotient to evaluate the slope of the tangent line to the first parabola found in…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: What is the general equation of a parabola that opens upward with V(-1,2)?

A: The general equation of the parabola opening upwards is x-h2=4py-k where (h,k) is vertex. here…

Q: 5) Find the unique quadratic curve (i.e. parabola) which passes through the following three points:…

A: We have to find the unique quadratic curve which passes through the following points:…

Q: 9. Write the equation of a parabola in standard form if the vertex is at (5, 0). And opens upward…

A: The parabola vertex (5,0) and focal length 10 units

Q: Find the equation of the line that is tangent to the hyperbola at the given point. Write your answer…

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Q: = 8. Find the equations of both the tangent lines to the hyperbola x² - 4y² 9 that pass through the…

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Q: Please don't provide handwritten solution...

A: Explanation is given below:Explanation:Given equation: 5y−x2=20 Rewrite it in the standard form of a…

Q: The parabola y = x^2 is compressed vertically and translated down and right. The point (4, -10) is…

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Q: Find the equation of the osculating circle of the parabola y= 1 x' at the point where x = 1. Then 4.…

A: The given data is: The equation of a parabola is: y=12x2 To find the equation of the osculating…

Q: Q14:- Find an equation of the tangent line to the hyperbola 015:- Suppose you dron a circle of…

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Q: On which curve does the perpendicular tangents drawn to the hyperbola ²²² 1 25 16 = 1 intersect?

A: The given hyperbola is x225-y216=1 Rewrite the equation as x252-y242=1 Comparing with general…

Q: 3. All vertical parabolas. Ans: y" = 0

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Q: Find a parabola with equation y = ax² + bx + c that has slope 10 at x = 1, slope -14 at x = -1, and…

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Q: Find all points where the parabola y = 9 - x² 1 intersects the line y = zx+6. 2

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Q: 1. For the parabola equation: (y-2) = -3(x+4)^2 + 7, in which direction does the parabola open? *

A: We have to find the direction in which the given parabola opens.

Q: 4. The accounting department at Factory Shoe has determined that the quadratic relation P = - 2x²+…

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Q: est to the point 2, 2

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Q: Assume that the water coming from the end of a horizontal pipe 25 ft above the ground is parabolic…

A: Assume that the water coming from the end of a horizontal pipe 25 ft above the ground is parabolic…

Q: 28. Find the directrix for the parabola. (y+ 3)2 + 8 2x x = 4 y = } 7/2

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Q: O y = -(x+ 4)² + 5 | O y = -(x- 4)² – 5 | O y = #(x – 4)² + 5 O y = -( - 4)² + 5

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