Math 151 Fall 2004 Quiz 1.

  1. Given $P=(1,3),$ and $Q=(-4,5),$ then

    1. find the line equation passes through $PQ$,

    2. find the line equation of $l_{1}$ so that $l_{1}$ passes through $P$ and $l_{1}$ is perpendicular to $PQ$,

  2. Let $f(x)=-\sqrt{x}.$

    1. Find the function $f_{1}$ so that the graph of $y=f_{1}(x)$ is being shifted to the right $2$ units and down $3$ units from $f.$

    2. Find the function $f_{2}$ and sketch the graph of $y=f_{2}(x)$ so that the graph of $y=f_{2}(x)$ is a reflection of $y=f(x)$ with respect to $x-axis.$

  3. If the graph of $f(x)=(x-3)^{2}+2$ is given below and is marked as the darkest graph). Then identify the remaining functions, MATH and $y=f(-(x+1))-1,$ whose graphs are given below.
    graphics/q1__23.png

  4. If MATHThen

    1. solve for $x$ where $f(x)>0,$

    2. find the $y-intercept$ of $y=f(x).$