onsider the quadratic function f(x)=x2−4x+1𝑓(𝑥)=𝑥2−4𝑥+1 . What is the vertex?

Answer 1

To find the vertex of the quadratic function, we use the formula x = -b/2a, where a = 1 and b = -4 in this case.

x = -(-4)/(2*1)
x = 4/2
x = 2

To find the y-coordinate of the vertex, we substitute x = 2 back into the function:

f(2) = 2^2 - 4*2 + 1
f(2) = 4 - 8 + 1
f(2) = -3

Therefore, the vertex of the quadratic function f(x)=x^2-4x+1 is (2, -3).