Answer:
(6,-34)
Step-by-step explanation:
You can use the vertex formula to find the x of the vertex and then plugin the x value into the formula to find the y value.
[tex]x = -\frac{b}{2a}[/tex]
[tex]x = -\frac{b}{2a}[/tex]
[tex]x = -\frac{-12}{2(1)}[/tex]
[tex]x = 6}[/tex]
Now plugin 6 into y=x²-12x+2
y=x²-12x+2
y=6²-12(6)+2
y=36-72+2
y=36-72+2
y = -34
Vertex = (6,-34)
vertex = (6, - 34 )
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form, complete the square on x² - 12x
• add/subtract (half the coefficient of the x- term )²
y = x² + 2(- 6 )x + 36 - 36 + 2 = (x- 6 )² - 34 ← in vertex form
vertex = (6, - 34 )
