Answer:
a. (-1, -2)
Step-by-step explanation:
The vertex form is: a(x - h)² + k
First, we use ax² + bx + c, to find a, b, and c.
a = 3
b = 6
c = 1
We use the formula h = [tex]\frac{b}{2a}[/tex] to find h.
h = [tex]\frac{6}{6}[/tex] = 1
We use the formula k = c - [tex]\frac{b^{2} }{4a}[/tex] to find k.
k = 1 - [tex]\frac{36}{12}[/tex] = - 2
Now, we have the equation:
y = 3(x - 1)² - 2
h = -1
k = -2
So, the vertex is a.(-1, -2).
