How do you graph and label the vertex and axis of symmetry of y=2(x+2)^2-4y=2(x+2)24?

1 Answer
Jan 15, 2018

To graph this you can just construct a table of values and plot the values. Or you could base it off the vertex, and solutions (if any)

Based on the equation you've given, y=2(x+2)^2-4y=2(x+2)24, the vertex is (-2, -4)(2,4), because vertex form is y=a(x – h)2+k where h is the x-coordinate and k is the y-coordinate of the vertex.

The x-coordinate of the vertex is also the axis of symmetry, which is x=-2.

As mentioned above, if you have the vertex and solutions, you can plot the graph with substantial accuracy, but if you have no solutions, then it is best to construct a table of values for a range of x values and go from there.