The arch of a bridge can be modeled by
d="TexFormula1" title="y=-\frac{1}{170}(x-225)(x+225)" alt="y=-\frac{1}{170}(x-225)(x+225)" align="absmiddle" class="latex-formula">, where 
and 
are measured in feet. The -axis represents the ground. Find the width of the arch of the bridge at ground level.
2 answers:
You might be interested in
Given:
The two functions are:
To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
.... (i)
Where, a is horizontal shift and b is vertical shift.
- If a>0, then the graph shifts a units left.
- If a<0, then the graph shifts a units right.
- If b>0, then the graph shifts b units up.
- If b<0, then the graph shifts b units down.
We have,
The function g(x) can be written as
...(ii)
On comparing (i) and (ii), we get
Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).