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)
Answer:
y^2+y-12
Step-by-step explanation:
Once again, FOIL is the way to go!
First, Outside, Inside, Last
y^2+y-12
Answer:
Option D. minimum value at −38
Step-by-step explanation:
we have

Let

Complete the square




------> equation of a vertical parabola in vertex form
The vertex is the point 
The parabola open upward-----> the vertex is a minimum
therefore
minimum value at −38
Given:
Line A: 2x + 2y = 8
Line B: x + y = 4
x = 4 - y
2(4-y) + 2y = 8
8 - 2y + 2y = 0
0 = -8
y = 4 - x
2x + 2(4-x) = 8
2x + 8 - 2x = 8
0 = 0
There is no solution.