The equation of the graph is (x-3)(x+1), the y-intercept of y=[tex]x^{2} -5x+4[/tex] is "4" and the factors of y=[tex]x^{2} -5x+4[/tex] are (x-4) ad (x-1)
Given that a graph touch x-axis at 2 points i.e. 2 roots are there for given graph.The graph touches the x-axis at (3,0) and (-1,0) it implies x=3 and x=-1 are the solutions the equation,(x-3) and (x+1) are factors of equation
Therefore,the equation of graph is (x-3)(x+1).
Given the equation y=[tex]x^{2} -5x+4[/tex]
The y-intercept is defined as the graph passing a fixed point at x=0 line
i.e.(0,c) pass through it . c is the y-intercept
c=0-0+4
c=4
Therefore,The y-intercept of the equation y=[tex]x^{2} -5x+4[/tex] is 4
Factorising y=[tex]x^{2} -5x+4[/tex]
⇒ y=[tex]x^{2} -5x+4[/tex]
⇒y=[tex]x^{2} -x-4x+4[/tex]
⇒y=x(x-1)-4(x-1)
⇒y=(x-4)(x-1)
Therefore, the factors of y=[tex]x^{2} -5x+4[/tex] are (x-4) and(x-1)
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ9
