contestada

What is the vertex of the graph of the function below?
y=x²-4x+3
O A. (1,-1)
OB. (2,-1)
O C. (2,0)
O D. (1.0)

Respuesta :

Answer:

B

Step-by-step explanation:

given a quadratic function in standard form

y = ax² + bx + c ( a ≠ 0 ) , then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = x² - 4x + 3 ← is in standard form

with a = 1, b = - 4 , then

x = - [tex]\frac{-4}{2}[/tex] = 2

substitute into the equation for corresponding y- coordinate

y = 2² - 4(2) + 3 = 4 - 8 + 3 = - 1

vertex = (2, - 1 )