Find the equation of the parabola y = ax? + bx + c passing through the points (0, 6), (- 2, 2), and (3, 9/2).

Q: Find x-intercepts of the parabola y= -2x² + 3x + 3 (Round your answers to two decimal places.) Write…

A: Given: y=-2x2+3x+3   As we know that: To calculate the x-intercept, we need to solve for x after…

Q: Write an equation for a parabola with X intercepts (-3,0) and (5,0)which passes through the point (4…

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Q: The parabola y=ax2+k has vertex (0,−3) and passes through the point (3,3). Find its equation. y=

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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: 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: Write the general form equation of the parabola that passes through (3,-13) with vertex at (5,-1)

A: We use f(x) =a(x-h)²+k where vertex is (h,k).

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: Find an equation of the parabola with vertex (5,-5) and directrix y=-3   .

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Q: Find the equation of the parabola with V(-2,-3) and a directrex y=-7

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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 parabola with equation y = ax² + bx+c intersects the x-axis in x = -3 and x = 5 and has the…

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Q: Write equation 16x2 - 24xy + 9y2 - 60x - 80y + 100 = 0 as a quadratic equation in y and then use the…

A: We need to use a graphing utility to graph the following exercise Given quadratic equation…

Q: Find the equation of the parabola by using three points (4,0), (2,8), and (6,0). Step 1. Write the…

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Q: Describe how the parabolas y = x2 + bx change as b changes from -oo to oo.

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Q: Write the equation of two different parabolas that have a vertex of (3,-1), and that pass through…

A: Vertex is ( 3 , -1 )  and point (0, 2 ) So Now equation of parabola is given by    y = a ( x - h )2…