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: Which of the following is the equation of the parabola shown below? 10-y 8+ 6+ (4,2) 2- .0) + -4 -2…

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Q: Determine the focus of the parabola (y + 2)2 = -16(x 3). O(7.2) O(6.3) O (3,-2) O (1-2)

A: We have to find the focus of the given parabola. The solution is following.

Q: Write the equation of the parabola given by y? + 2y + 12x – 23 = 0 in standard form. %3D -

A: Given equation of parabola is y2 + 2y + 12x - 23 = 0

Q: 19. Write the equation of a parabola whose y-intercept is 4 and which contains the points (1, -4)…

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Q: Complete the square to express y= 3x – 10x – 5 in the form y=a(x-h)² +k. Then give the coordinates…

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Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: 9. Find the vertex and focus of the parabola whose equation is 24x = -(y – 6)² + 192 O V(-8, –6),…

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Q: Which equation represents the parabola graphed on the coordinate plane below? Ay-x-8²-6 А directrix…

A: Vertex form of parabola with vertex h,k⇒y=ax-h2+k

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 the equation of the parabola that goes through the points (-2,16), (-1,6), and (2, 12).

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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 equation of the line that contains the vertices of the hyperbola (x + 4)² (y + 2)² -1? 9…

A: Finding the vertices

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: What is the vertex of the parabola represented by y = -2(x – 6)² + 5? O (5, 6) O (-6, 5) (6, 5) O…

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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: Express the general form to its standard form and locate the center, vertices, covertices and foci…

A: equation 4x2 - y2 - 32x - 4y + 24 = 0

Q: Graph x = 2 and y = 3 and z = -3 in a 3-D rectangular coordinate system.

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Q: Find the vertex of the parabola, y=x²+4x+1 O a. (2,13) O b. (-2,-3) O c. None O d. (-4,0)

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