# Parabola

Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax

^{2}+bx+c)### Correct answer:

Tips for related online calculators

Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

#### You need to know the following knowledge to solve this word math problem:

#### Grade of the word problem:

We encourage you to watch this tutorial video on this math problem: video1

## Related math problems and questions:

- Parabola 3

Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. f: y=x²+bx+c - Geometry: 78014

Good day, Even though it is a trivial task, I don’t know how to deal with it. This is analytic geometry: Find all integers a, b, and c such that the line given by the equation ax+by=c passes through the points [4,3] and [−2,1]. Thank you for your answer - Suppose 10

Suppose 4+7i is a solution of 5z2+Az+B=0, where A, B∈R. Find A and B. - Quadratic equation

Quadratic equation 7x^{2}+bx+c=0 has roots x_{1}= 67 and x_{2}= -84. Calculate the coefficients b and c. - General line equations

In all examples, write the GENERAL EQUATION OF a line that is given in some way. A) the line is given parametrically: x = - 4 + 2p, y = 2 - 3p B) the slope form gives the line: y = 3x - 1 C) the line is given by two points: A [3; -3], B [-5; 2] D) the lin - Line intersect segment

Decide whether the line p : x + 2 y - 7 = 0 intersects the line segment given by points A[1, 1] and B[5, 3] - A Cartesian framework

1. In a Cartesian framework, the functions f and g we know that: The function (f) is defined by f (x) = 2x², the function (g) is defined by g (x) = x + 3, the point (O) is the origin of the reference, and point (C) is the point of intersection of the grap - On line

On line p: x = 4 + t, y = 3 + 2t, t is R, find point C, which has the same distance from points A [1,2] and B [-1,0]. - Vector - basic operations

There are given points A [-9; -2] B [2; 16] C [16; -2] and D [12; 18] a. Determine the coordinates of the vectors u=AB v=CD s=DB b. Calculate the sum of the vectors u + v c. Calculate the difference of vectors u-v d. Determine the coordinates of the vecto - Fredrik

Fredrik knows that x ^ 2 + ax + b = 0 has only one solution, and this is x1 = - 3/2 Find the values of a and b. - Coefficient 81704

In the equation of the line p: ax-2y+1=0, determine the coefficient a so that the line p: a) it formed an angle of 120° with the positive direction of the x-axis, b) passed through point A[3,-2], c) was parallel to the x-axis, d) had a direction of k = 4. - Equation

Equation -2x²+bx -82 =0 has one root x_{1}= -8. Determine the coefficient b and the second root x_{2}. - Line in normal form

Try to find the equation of a line given two points in the form Ax+By=C. passes through the points: (2,1) and (-2,2) - Equation 80525

Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2] - Intersections 3

Find the intersections of the circles x² + y² + 6 x - 10 y + 9 = 0 and x² + y² + 18 x + 4 y + 21 = 0 - Coefficient 21623

In the equation 2x² + bx-9 = 0 there is one root x1 = -3 / 2. Determine the second root and the coefficient b - Arithmetic mean - parabola

Find the value of k so that k² + 2k – 3 is the arithmetic mean between k² + 4k + 5 and k² – 6k + 10.