Determine the focus of the parabola (x - 2)² = 4(y - 3). %3D O (-1,-3) O (2,4) O (-2,-2) O (2,3)

Q: What is the vertex of the parabola y=(x+3)²-4? A (3,4) B (-3,4)

A: The vertex of standard parabola equation  y = x2  is at (0,0)

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: 16X2 + 25Y2 + 160X + 200Y + 400 = 0 hub a.(5.4) B. (5, - 4) C. (-5, -4) D. (-5, 4) Vertex A) C=3…

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Q: vertex of parabola : (-2,1)= (h,k) x=a(y-k)²+h ✓ (-1.5, -2.3) (j,4.2)

A: Given Vertex of parabola h, k=-2, 1 Equation of parabola x=ay-k2+h Points of intersection of line…

Q: (4D4 - 4D3 - 3D2 - 2D + 1)y = 0

A: We have to solve the given equation.

Q: fuo= x²-Gx +25 form Reurite in Vertex

A: Given,              f(x) = x2-6x+25

Q: Find (2x + 5y)dA where Ris the parallelogram with vertices (0,0), (-5,4), (-2,-1), and (-7,3). Use…

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Q: Write the following equation in vertex form: x2 + 10x + y + 31 = 0 O (x+6)² = -(y-5) O (x + 5)² =…

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Q: A circle has the equation (x + 5)2 + (y- 2)2 = 9. What is the center of the circle? %3D

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Q: O O 2. The graph of the equationx + 3y = 6 intersects the y-axis at the point whose coordinates are…

A: To find the intersection point

Q: Q2: A particle move on the path has parabola shape with equationf (x) = a + bx + cx²; Find the…

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Q: Find (5x + 3y)dA where R is the parallelogram with vertices (0,0), (-1,4), (-4,-5), and (-5,-1). R…

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Q: Write an equation of the parabola in intercept form. AY (3, 4) 4 (4,0) 8X (2, 0) An equation of the…

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Q: What is the value of y in (2x - 1) + j(x + y) = (y - 6) + j(2y - 4)? Rectangular form answer please

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Q: Write the equation of the parabola that has the same shape as f(x) = 9x´ but with vertex (- 2,3) in…

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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…

Q: supply the direction of the opening, vertex, focus, ends of latus rectum, and graph 2y 2y^2 + x + 8y…

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Q: Another constraint you can use to compute cubic splines is that the second derivatives of adjoining…

A: Consider the cubic polynomial  fx=⋮ai-1x3+bi-1x2+ci-1x+di-1, x∈(xi-1,xi]aix3+bix2+cix+di…

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: ODELING REAL LIFE A charm bracelet costs $65, plus $25 for each charm. The equation -25x +y = 65…

A: a) Given that, the function is -25x+y=65. -25x+y=65y=65+25x Let x=0 then the value of y is…

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: parabola passes through (15,0) (25,30) (35,80). find the equation of the parabola in the form…

A: Given: A parabola passes through (15,0) (25,30) (35,80). To find:- The equation of the parabola in…

Q: Find the equation of the parabola, y = ax2+bx+c, that passes through the points (−1, 6), (1, 4),…

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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: A -3 -1 В -1 -2 The midpoint of AB = ([ ? ], [ ]) 2.

A: This question is related to coordinate geometry, we will solve it using given information.

Q: Write the equation of a circle where the center is (-1,2) and a point on the circle is (-6, 2). OA…

A: A circle is the locus of points in two-dimensional space which are equidistant from a fixed point.…

Q: q13.2 You have been given the following equation of a sphere (x^2) + (y^2) + (z^2) - 6x + 4z = 3…

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Q: Find the equation of the parabola with the following data. F (-3, -2), V (-3, -5)

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Q: What is the center of X x² + y² – 30x + 221 = 0? Show all work for full credit.

A: Topic = Geometry