Answer:
The vertex is ( -4,1)
Step-by-step explanation:
The equation for a parabola can be written as
y = a( x-h)^2 +k where ( h,k) is the vertex
y = 2
(x + 4)² + 1
Rewriting
y = 2
(x - -4)² + 1
The vertex is ( -4,1)
The vertex is (3,0).
The 3 inside the abs val bar tells you the x value of the vertex is 3. No number outside the abs value bar is a +0 which is the y value of the vertex.
The correct answer among the choices listed above is the second option. <span>The following system of equations is equivalent. This is because when written in the same form, one equation will yield to the same equation as the other.
</span>y = -1/3x +2/3
<span>2x + 6y = 4
</span>6y = 4 - 2x
y = 2/3 - 1/3x
<span>y = -1/3x +2/3 </span>