Practice section 1 of 9

Use a graphing calculator to sketch:

1. $y=x^2$
2. $y=(x+1)^2$
3. $y=(x-2)^2$

Copy the curves. What do you observe about the curves?

State the transformation which transforms $y=1/x$ to $y=1/(x-1)$. On separate diagrams, sketch the two graphs, stating the equations of any asymptotes.

Use a graphing calculator to sketch:

1. $y=x^2$
2. $y=x^2+1$
3. $y=x^2-2$

Copy the curves. What do you observe about the curves?

State the transformation which transforms $y=1/x$ to $y=1/x+1$. On separate diagrams, sketch the two graphs, stating the equations of any asymptotes.

Given $f(x)=x+1$, sketch on separate diagrams (a) $y=f(x)+2$ and (b) $y=f(x-3)$.

Use a graphing calculator to sketch:

1. $y=(x+1)(x-3)$
2. $y=(\frac12x+1)(\frac12x-3)$
3. $y=(2x+1)(2x-3)$

Copy the curves. What do you observe about the curves?