Question

Write an equation of the parabola that satisfies the conditions

vertex: (2,1);a=1

Answer 1

y = x² - 4x + 5

Explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 1) and a = 1, thus

y = (x - 2)² + 1 ← expand parenthesis using FOIL

= x² - 4x + 4 + 1

= x² - 4x + 5