Question

What is the vertex of the parabola of the parabola that is formed from the function?

Answer 1

vertex = (2, - 1 )

Explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 ) , then

The x- coordinate of the vertex is

`x_(vertex)` = -
`(b)/(2a)`

f(x) = x² - 4x + 3 ← is in standard form

with a = 1, b = - 4 , then

`x_(vertex)` = -
`(-4)/(2)` = 2

Substitute x = 2 into f(x) for corresponding y- coordinate

f(2) = 2² - 4(2) + 3 = 4 - 8 + 3 = - 1

vertex = (2, - 1 )