8. Find the equation of the parabola ax? + by? + cxy + dx + ey nat passes through the points (3, 1), (–1,0).

Q: (x − 6)²(y+3)² + 36 25 = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: f.) x (y + 2) = 2(2x + 1) 2(2x + 1) y = mx + b form: Graph th

A: Given: To find:To write the above equation in  form.To draw the graph of the equation.

Q: Find the vertex and directrix of the parabola. y2+14y+ 4x +45= 0…

A: Consider the equation of parabola, y2+14y+4x+45=0 To write the equation in standard form,…

Q: 4x2+y2-16y+8y+16=0 Identify the conic section by rewriting it in standard graphing form.

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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: 3. Find the vertex for the parabola 4x + 2y² + 8 = 0. (a) (0, -2) (b) (-2,0) (c) (2, 2) (d) (-2,1)

A: The equation of the parabola is  4x+2y2+8=0

Q: Find the tangent hyperplane (i.e. linear approximation) to the hypersurface in R4: h = 1 = xy + x²z…

A:

Q: 13. Which of the following is the equation of the graph shown? 2 Parabola Oy = - 3x? – 6x – 2 Oy = -…

A: The objective is to find the equation of the graph.

Q: The parabola shown in the figure has an equation of the form y = ax² + bx + c -5 y 5 (2, 4), -5 -10…

A: The parabola shown in the figure has an equation of the form .The parabola passes through the points…

Q: 1. A parabola has equation -12x + y? – 24 = 0. Write the equation in standard form.

A: The equation of the parabola is, - 12x + y² - 24 = 0 So, y² = 12x + 24

Q: Find the equation of the parabola y=ax+bx + C that passes through the points (2, 20), (-5, 6), and…

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Q: Q15: A quadratic form is given by; 5x² - 2xy + 5y² = 24. Identify the conic section and illustrate…

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Q: Sketch the parabola g(t) = -t2 + 4t - 3.

A: Sketch the parabola g(t) = -t2 + 4t - 3.

Q: 8. Find the equation of the conic whose focus is (4, -5) and directrix is x = -2.

A:

Q: (0,7) (12,14) (20,0), create a parabolic model H(x) in the standard form H(x)=ax+bx+c for the path…

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Q: 11. Write the equation of the conic section in standard form. 7x² – 3y² – 70x –12y+142 =0

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Q: DETAILS Manually calculate the compound Interest on an Investment of $6,750 at 12% Interest,…

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Q: If a parabola y=ax2+ky=ax2+k has vertex (0,−1)(0,−1) and passes through the point (4,2)(4,2). What…

A: A Parabola y=ax2+k       ...(1) has Vertex (0,-1) and Passes through the Point (4,2)

Q: 12) (x − 8)²(y+7)² - + 100 25 (x + 2)²_ (y − 1)² 4 64 YG X 14) = 1 G = 1

A:

Q: est to the point 2, 2

A: