Determine if y=2(x−3)^2+6

Question

a function by graphing. (Hint: you can use desmos or geogebra).

Answer 1

To determine if the equation is a function, we can use a graphing tool like Desmos or Geogebra.

By graphing the equation y = 2(x-3)^2 + 6, we can see if there are any vertical lines that intersect the graph in more than one point. If this is the case, then the equation is not a function.

Using Desmos, we can enter the equation y = 2(x-3)^2 + 6 in the input bar and press enter.

After graphing the equation, we can see that it forms a parabola with the vertex at (3, 6).

There are no vertical lines that intersect the parabola in more than one point. Therefore, y = 2(x-3)^2 + 6 is a function.

Here is the link to the graph on Desmos: https://www.desmos.com/calculator/85kcmjyie2