The problem states;
The graph of y=f(x) is given. Match each equation with its graph.
What I find confusing is that these are parabolas. Why is this?
sorry. Heres a link to a more descriptive analysis of the type of problem. Same instructions but different problem. It is problem number 4. The problem is in page 2.
The question relates to transforming the original graph (whatever shape it is). There are basically 4 types of transformations:
The a, b, c, and d have different effects on the original graph of y=f(x).
Do you know what these effects are?
4 a) 2
for 4 b) the equation is y = -f(x+4)
rearrange the equation become y = -f(x-(-4)) which is in standard form..
thus the graph of f(x) should be reflected across x-axis and shifted horizotally 4 unit to the left...
the graph for number 3 is -f(x+4)-1...
I think you probably typed in y=x-4 which IS a straight line, but that's irrelevant here.
I'll take you through the steps.
On your GC draw the parabola y=x^2 for starters. (You could do this with any graph but lets start with a basic parabola)