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QUESTION IMAGE

use the graph to solve the system. y = - 3x^2 - 24x - 47 y = 4(x + 4)^2…

Question

use the graph to solve the system.
y = - 3x^2 - 24x - 47
y = 4(x + 4)^2+1
(-4.5,0)
(-3,2)
(-4,1)
no real solution
(-3.5,0)
(1, - 4)

Explanation:

Step1: Analyze the graph

Observe the two - parabola graphs.

Step2: Check for intersection points

The solutions of the system of equations are the intersection points of the two graphs. Since the graphs of $y = - 3x^{2}-24x - 47$ and $y = 4(x + 4)^{2}+1$ do not intersect.

Answer:

No real solution