Using the observations in the table below, find the equation for the best fit parabola. Report the final equation of the parabola in the form y=Ax² + Bx+C . Report the residuals for the system of equations. X -2 -1 0 1 2 y 19.058 17.144 19.086 23.251 31.666

Q: Write each equation in standard form. State whether the graph of the equation is a parabola, circle,…

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Q: Consider the equation x2 + 8x² + z² = 30, then take a cross section when x = 1. Describe the…

A: 6.     Resulting shape gives two parallel line.

Q: Find an equation of the parabola with vertex (4, 2) and focus (4, 6).

A: Given :              Vertex (4,2) and focus (4,6)       Since the vertex and focus have common…

Q: ine the graph of the paraboloid z=x2+9y2. Choose the correct graph of the equation.

A: Given the paraboloid equation is                           z=x2+9y2.

Q: A parabola is represented by the equation y=x² + 4x, which graph best represents the parabola? A VA…

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Q: 12. Use vertex form to write the equation of the parabola. y= 3(x+2)° +2 y= 3(x- 2)° +2 y= 3(x- 2)°…

A: best and easiest way is one by one checking if the given option satisfy the given points (-2, 2) and…

Q: Ay 3-

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Q: 8. Write the parabola y- 6y + 16x + 25 = 0 in standard form.

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Q: Determine another point on each parabola. The axis of symmetry is x = 3. A point on the parabola is…

A: The axis of symmetry of a parabola is a line about which the parabola is symmetrical.

Q: Which equation would shift the parabola down 3 units? A y=z² B y=z² +3 C_y=(z-3)² Dy=(z+3)²³ E =…

A: which equation would shift the parabola down to 3 units.

Q: -6 -2₂ 2- --2-

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Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window. 13…

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Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window.…

A: Since you have posted a question with multiple sub-parts, we will solve the first three parts for…