Question

What is the vertex of the graph of the function below?

Answer 1

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 = - $\frac{b}{2a}$

y = x² - 4x + 3 ← is in standard form

with a = 1, b = - 4 , then

x = - $\frac{-4}{2}$ = 2

substitute into the equation for corresponding y- coordinate

y = 2² - 4(2) + 3 = 4 - 8 + 3 = - 1

vertex = (2, - 1 )