In the coordinate plane, triangle $XYZ$ has vertices $X(1,2)$, $Y(3,2)$, and $Z(1,5)$. Triangle $UVW$ is a dilation of $XYZ$ about the origin with vertices $U(2,4)$, $V(6,4)$, and $W(2,10)$. What is the scale factor from $XYZ$ to $UVW$?

Work each problem. Find a function g(x)=ax+b whose graph can be obtained by translating the graph of ƒ(x)=2x+5 up 2 units and to the left 3 units.

Consider the following nonlinear system. Work Exercises 75 –80 in order.

$y=\mid x-1\mid$

$y=x^2-4$

How is the graph of y = x^2 - 4 obtained by transforming the graph of $y=x^2$?

Use the graph of y = f(x) to graph each function g.

g(x) = f(x-1) - 2

Begin by graphing the standard quadratic function, f(x) = x². Then use transformations of this graph to graph the given function. h(x) = -(x − 2)²