Answer:
Step-by-step explanation:
Given :
...................... equation 1
........................ equation 2
solving the system of linear equation by substitution method , substitute equation 1 into equation 2 , that is
collect the like terms
therefore :
substitute into equation 1 to find the value of y , that is
Therefore :
vertex = (3,- 5 )
given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then
the x-coordinate of the vertex is
= -
y = x² - 6x + 4 is in standard form
with a = 1, b = - 6 and c = 4, hence
= -
= 3
substitute this value into the equation for y- coordinate
y = 3² - 6(3) + 4 = 9 - 18 + 4 = - 5
vertex = (3, - 5 ) → second table