Which table contains the vertex of the graph represented by y=x^2-6x+4? x. y -2 20 0 4 2 -4 4 -4 x. y -1 11 1. -1 3. -5 6. 4 x. y -3. 31 -1. 12 0. 4 2 12 x. y 0 5 2 7 3. 5 5. 7

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

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

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step-by-step explanation: