Question

Find the equation of parabola​

Answer 1

y = (x-2)² + 1

OR

y = x² - 4x + 5

Explanation:

Use the vertex form equation of a parabola.

y = a(x-h)² + k

Where (h,k) is the turning point.

Sub in the vertex and one other point

y = a(x-2)² + 1

5 = a(0-2)² + 1

4a = 4

a = 1

Therefore the equation for this parabola is:

y = (x-2)² + 1

In standard form it is:

y = x² - 4x + 5