Question

Use the drawing tools to form the correct answer on the graph.Draw the solution point, or points, for this system of equations.y = 252 - 122 + 20=2

Answer 1

INFORMATION:

We have the next two equations:

$\begin{gathered} y=2x^2-12x+20 \\ y=2 \end{gathered}$

And we must graph the solution

STEP BY STEP EXPLANATION:

To graph the solution, we must first find the solution.

To find the solution of the system, we can equal the two equations and then solve for x

1. Equal the two equations

$2x^2-12x+20=2$

2. Solve for x

$\begin{gathered} 2x^2-12x+20-2=0 \\ 2x^2-12x+18=0 \\ 2(x^2-6x+9)=0 \\ 2((x-3)(x-3))=0 \\ 2(x-3)^2=0 \\ (x-3)^2=0 \\ x-3=0 \\ x=3 \end{gathered}$

So, the solution of the system is x = 3.

To find the solution point, we can replace x = 3 in one of the equations of the system.

Then, replacing x = 3 in y = 2, we obtain that the solution point is (3, 2)

ANSWER: