Determine if y=2(x−3)2+6

Question

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

Answer 1

Yes, y=2(x−3)2+6 is a function.

When we graph this function, we will get a parabola that opens upwards. The vertex of the parabola is at (3,6) and it is symmetrical. This means that for every x value, there is only one corresponding y value. Hence, it satisfies the vertical line test and is a function.

Here is the graph for better visualization:

*[illustration graph]