Question

Please help: I need to know were should I place the point plotted on the graph I have attached.The graph of f(x)=x^2 is shown. Use the parabola tool to graph the function g(x)=(12x)^2. To graph a parabola, first plot the vertex then plot another point on the parabola.

Answer 1

We will have the following:

First, we can see that the vertex will remain in the same point (0, 0). Now we chose an arbitrary number for the other point in our case we will use x = 2 [There is no particular reason, is a random number] now, we determine the y-component, that is:

$y=(\frac{1}{2}(2))^2\Rightarrow y=1$

So, the second point will be:

$(2,1)$