Given the general model of the parabola y=ax²+bx+c Find the equation of the parabola that passes through the points A(-2,-6) B(0,10) y C(4,-8) y= x² + Round to 4 decimal places X+

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: There is a parabola which has a minimum where the two lines 3x+6y-1=0 and 2x+ y-2=0 intersect. The…

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Q: Write the equation of the hyperbola 9x² - 36y2 - 18x144y - 459 = 0 in standard form (x - h)² (y -…

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Q: solve for the focus of the parabola 8y = -x2 + 4x + 36

A: Solution:-     As we know,           The equation of a parabola in a vertex form is…

Q: What is the vertex of the parabola (y - 1)2 = 16x?

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Q: Write the equation of a parabola in standard form from the given information Vertex at (2, -2)…

A: Vertex of the parabola is at 2, -2 and focus at 2, -3. Now vertex is, h, k=2, -2⇒h=2  &  k=-2…

Q: The surface of a mountain is modeled by the equation h(x, y) = 7500 – 0.001x2 - 0.004y2. A mountain…

A: Given the surface of a mountain is modeled by the equation h(x,y)=7500−0.001x2−0.004y2

Q: (r- 13) = 10 (y – 11)

A: Let us plot the above equation.

Q: (y-p)2²=4a(x-q)

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Q: What is the equation of the line tangent to the hyperbola = 1 at the point (V2a, b)? y = -a+b 26 V26…

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Q: When constructing the standard equation of a parabola, how do you know when the p value is negative?

A: When constructing the standard equation of a parabola, how do you know when the p value is negative?

Q: Write an equation of a parabola that satisfies each set of conditions. a) opens upward, congruent…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) O Option 1 O Option 2…

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Q: y = 3(x+4/3)^2 - 2 How can I determine the x and y intercepts for this parabola?

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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: =ar, easy to read sandth

A: We will find the coordinates.

Q: Find an equation of the parabola with vertex (-5,-4) and directrx y =-11,

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