Use a system of linear equations to find the parabola y = ax? + bx +c that passes through the points (-1, 2), (0, 1), and (2,6). Show all of your work.

Q: Find the equation of the line parallel to 8x +4y = 1 passing through the point (0, 1). %3D

A: Given equation is 8x+4y=1 We have to find the equation of line parallel to 8x+4y=1 passing through…

Q: Create the equation of a quadratic function that has a vertex (3, 18) and x intercept at (6, 0)

A: Find the value of constants from the given condion gives us the equation.

Q: Find the equation of a line perpendicular to −4x+y=−5 that contains the point (−5,1).

A: We have to find the line perpendicular to y=4x-5 and passing through (-5,1)

Q: Find the coefficients a, b, c, and d so that the graph of the equation y = ax³ + bx² + cx+d passes…

A:

Q: Find the quadratic equation whose graph has vertex (3, 1) and passes through the point (2, 0) using…

A: Given:- Find the quadratic equation whose graph has vertex (3, 1) and passes through the point (2,…

Q: Find the quadratic y ax²+bx+c that best fits the data points (-2,-43), (-1, 79), (0, −55), (1, −5),…

A: We have to find the quadratic y = ax2 + bx + c that best fits the data points (-2,-43), (-1,79),…