Home > A2C > Chapter 11 > Lesson 11.2.6 > Problem 11-122
11-122.
A parabola passes through the points (0, 5), (2, 1), and (6, 17). Homework Help ✎
What is its equation?
Where is its vertex?
Create a system of equations based on the general equation
y = ax2 + bx + c:
(5) = a(0)2 + b(0) + c
(1) = a(2)2 + b(2) + c
(17) = a(6)2 + b(6) + c
Simplify and solve.
5 = c
1 = 4a + 2b + c
17 = 36a + 6b + c
y = x2 − 4x + 5
Convert the equation you found in part (a) into graphing form.