I have a question about problem 2 on exercise 1-3(Graphs of Quadratic Functions) it is the last part of the question where it says ...Sketch the graph of each funtion, based only on the 3 points you have sketched and your knowledge that the graph is a parabola... I dont understand what to do because the question up from that one kinda answers that question also. What do I do differently in that question than I did in the previous question?
One question asks you to graph the three points. The other asks you to sketch the curve based on those three points.
I also have a question about #4 on that same worksheet...If you were to draw a smooth curve passing through the vertex of each of the first four graphs, what can you say about the shape of the curve?...What do you want to know about them? The only thing that I can see is that they are all four turning upward....is that all I need to say?
Your statement that 'they are all four turning upward' is a little ambiguous. It states that every point is turning upward, and a point can't turn upward. You might either mean that the trend of the curve through the vertices is turning upward, or you might mean that every graph is turning upward.
Don't give it away, but I'll tell you that the curve through those vertices is itself a parabola. We'll look at it more closely in class.