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

Q: find the quadratic equation that goes through the points (2,-4), (3,-4), (0,2)

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Q: What is an equation of the line that passes through the points (1,2) and (2,−1)? Put your answer in…

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Q: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points…

A: We will find out the required value.

Q: In which direction does the parabola x = -y 2 + 3 open?

A: x=-y2+3 There are two patterns for a parabola, as it can be either vertical (opens up or down) or…

Q: What are the coordinates of the vertex for the given equation in standard form? y=x^2+6x+5

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Q: Find the equation that is represented by the graph (4,1)

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Q: write the equation of the quadraticfunction whose graph is a parabola containing the givenpoints

A: Let the equation of the quadratic function be: fx=y=ax2+bx+c This function passes through the points…

Q: Determine the vertex of a parabola y=-2x^2+15x using calculus (use first principles to solve)

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Q: Find the equation of a parabola whose latus rectum is joined by points (2, 1) and (-4, 1)

A: Use equation of parabola

Q: Write the equation in vertex form of a parabola with zeros of 5 and 3 and goes through the point…

A: Here we have to find the equation of parabola

Q: The equation of the parabola that has a vertical axis of symmetry, touches the line y= 6 and has its…

A: Your 3rd option is your correct option...detailed solution I have done step by step in…

Q: Identify the equation of a quadratic function with a vertex of (3, 0) that also contains the point…

A: As given by the question, There are given that the vertex is 3, 0 and the point is 4, -1. Then, To…

Q: Complete the squares and shift the origin for the equation z= 2a + y? - 6x + 4y+3. Which of the…

A: Completing the squares and shifting the origin for the equation, z=2x2+y2-6x+4y+3…

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: ress 3x² + y² + 2z² + 6x – 4y

A: Given,            3x2+y2+2z2+6x-4y-12z+26=0