Find the foci of the following hyperbola: + 1)²_ @x_1² = 1 (v (x-1)² 25 O (-1+√34,-1); (-1 – √34, −1) O (1,4); (1, -2) O (6, -1); (-4, -1) O (1-1+√34); (1.-1-√34)

Q: Find the vertex of the parabola Y= 6X^2.+24X + 18 O (6, 2) O (2, 6) O (2,-6) O (2, 6)

A: We have to find

Q: Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing…

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Q: 13) Find the points of intersecti on of the parabola and the line. y=2x^2-3x-1 and y=x+5

A: Equate the equations with each other and solve for x to find the point of intersection .

Q: A quadratic function with the vertex `(4,-1)` and the point `(5,1)` is represented by which of the…

A: Vertex (4,-1) and point (5,1)   We have to find quadratic function

Q: A parabola of y=x^2 has been regraphed and now sits with each side plotted at (-3,5) and (3,5) and…

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Q: f(x)=2x^(2)-16x+34 write in vertex form.

A: Given that ,write in vertex form.

Q: The equation of the parabola culminating at P (1,4) and through (3,0) is f(x)= ax^2+bx+c, so the…

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Q: Consider the parabola y=ax^2+bx+c, where a, b, and c are constants. (a) Determine the vertex form…

A: (a) Vertex Form of the Parabola:The vertex form of the parabola  is:where (h, k) is the vertex of…

Q: Identify b of the following quadratic equation: y = 2x2 +5x-14

A: Here the given quadratic equation is  y=2x2+5x-14 We need to find the value of "b".

Q: The point to which the origin should be shifted in order to eliminate x and y terms in the equation…

A: When origin is shifted from (0, 0) to (h, k), the point P(x, y) changes to P'(x-h, y-k) .

Q: Determine the axis of symmetry of the graph of the following parabola. f(x)=5^x2+190x+19

A: To determine the axis of symmetry of the graph of the following parabola.

Q: Find the parabola of the form y=ax^2+b which best fits the points (1,0), (4,4), (6,8) by minimizing…

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Q: What is the equation of the parabola that has a max of (2,3), and passes through point (, -1)?

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Q: The vertex of the parabola f («) — г? + 10х + 4 is о (-15, —21) о (-10, —15) (-5, –17) (-10, –21)…

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Q: The parabola is the graph of a quadratic polynomial p(x) = ax^2 + bx + c. A point (x0, y0) is a…

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Q: evaluate and simplify into cartesian form (2+j3) / (5-j4)

A: Multiply the numerator and denominator by the complex conjugate of 5-4j

Q: if the point (a, b) is on the parabola y=6x^2-(5785/12) that is closest to the point (0,4) than a ?

A: Given, y=6x2-578512 suppose x,y any point closest to 0,4  D=x-02+y-42 put y in equation,…

Q: The graphs of the equations (x - 3)2 + (y - 5)2 = 10 and x2 + (y + 1)2 = 25 intersect %3D at

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Q: Let there be two parabolas y^2 = 4ax and y^2 = -4bx (where a not equal to  b and a, b > 0). Then…

A: Let us consider that the line parallel to the common axis be y=h.then the co ordinates of A and B…

Q: =2x2 _4x-16 y=2x'

A: We have given function y=2x2-4x-16 y=2(x2-2x)-16 y=2(x2-2x+1-1)-16 y=2(x2-2x+1)-2-16 y=2x-12-18…

Q: What is the equation for the following quadratic in the form y= ax^2 +bx +c

A: y=ax2+bx+c The given equation intercept the x axis at -3,0 and 9,0 The equation passes through 3,6…