Review question

# Can we sketch the curve $y=1/((x-a)^2-1)$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6855

## Question

1. Sketch the curve $y=f(x)$ where $f(x)=\frac{1}{(x-a)^2-1} \qquad \qquad (x\neq a\pm 1),$ and $a$ is a constant.

2. The function $g(x)$ is defined by $g(x)=\frac{1}{((x-a)^2-1)((x-b)^2-1)} \qquad \qquad (x\neq a\pm 1,\,x\neq b \pm 1),$ where $a$ and $b$ are constants, and $b>a$. Sketch the curves $y=g(x)$ in the two cases $b>a+2$ and $b=a+2$, finding the values of $x$ at the stationary points.