Writing Quadratic Equations from 3 Points Quiz

Question 1: Given the points (1, 4), (2, 7), and (3, 12), write the quadratic equation in the form y = ax^2 + bx + c.

• y = 3x^2 + 4x

• y = 5x^2 + 3x + 1

• y = 2x^2 - 3x + 5

• y = 2x^2 + 2x

Question 2: If the points (2, 5), (-1, 2), and (3, 14) lie on a quadratic function, find the equation of the function.

• y = 4x^2 - 6x + 10

• y = 3x^2 - 4x + 5

• y = 5x^2 - 2x + 8

• y = 2x^2 + 3x + 7

Question 3: Write the quadratic equation for the points (0, 3), (1, 6), and (-2, 11).

• y = 4x^2 + 2x + 5

• y = 2x^2 - x + 3

• y = x^2 + 3x + 6

• y = 3x^2 - 2x + 1

Question 4: Determine the quadratic equation for the points (1, 2), (3, 8), and (-1, 2).

• y = 3x^2 - 4x + 5

• y = 3/4x^2 + 5/4

• y = 4x^2 - 2x + 3

• y = x^2 + 3x + 2

Question 5: Given the points (2, 3), (4, 7), and (1, 2), find the quadratic equation that passes through these points.

• y = 0.5x^2 - 1.5x + 2

• y = 3x^2 - 2x + 1

• y = 2x^2 - 3x + 4

• y = 4x^2 - 7x + 2

Question 6: If the points (0, 1), (2, 5), and (-1, 2) are on a quadratic function, what is the equation of the function?

• y = 2x^2 - 3x + 1

• y = -x^2 + 4x + 1

• y = 3x^2 - 2x + 5

• y = 2x^2 + 3x - 1

Question 7: Write the quadratic equation for the points (3, 5), (1, 3), and (2, 4).

• y = 4x^2 - 6x + 2

• y = 2x^2 - 3x + 1

• y = -x^2 + 2x + 3

• y = 0.5x^2 - 1.5x + 3

Question 8: Determine the quadratic equation for the points (-1, 6), (2, 3), and (0, 5).

• y = -x^2 - 4x + 5

• y = -x^2 + 4x + 5

• y = x^2 - 4x - 5

• y = x^2 + 4x + 5

Question 9: Given the points (1, 1), (2, 4), and (3, 9), find the quadratic equation that passes through these points.

• y = x^2

• y = 4x^2

• y = 3x^2

• y = 2x^2

Question 10: If the points (0, 2), (1, 3), and (-1, 1) lie on a quadratic function, what is the equation of the function?

• y = x^2 + 2x + 2

• y = x^2 - 2x + 4

• y = x^2 + 1

• y = x^2 + 3x + 1