Which of the following is the graph of f(x) = x^2 − 5x + 4?
graph of a quadratic function with a minimum at 2, negative 9 and x intercepts at negative 1 and 5
graph of a quadratic function with a minimum at 3, negative 4 and x intercepts at 1 and 5
graph of a quadratic function with a minimum at 2.5, negative 2.4 and x intercepts at 1 and 4
graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4

Respuesta :

factor to find x intercepts
x intercepts occur where f(x)=0
so
0=f(x)=x^2-5x+4
what2 numbers multiply to get 4 and add to get -5?
-4 and -1
0=(x-4)(x-1)
set to zero
x-4=0
x=4

x-1=0
x=1

x intercepts at 1 and 4
so therefor it is the 3rd option