Question

Using the drawing tools to form the correct answer on the graph draw the solution points or points for the system of equations.

Answer 1

The equations are given to be:

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

The graph of the first equation can be drawn by getting a table of values taking values of x from 0 to 5:

`\begin{gathered} At\text{ }x=0 \\ y=20 \\ At\text{ }x=1 \\ y=10 \end{gathered}`

Following the same method, we have the table of values to be:

Drawing the graph with the points and the graph of y = 2, we have:

The solution to the system of equations is where the two graphs intersect. This is at:

`x=3`

Therefore, the solution will be:

`(x,y)=(3,2)`