Evaluate the expression when x=5 and y=9 X2 + 5y+ 16
2 answers:
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First of all we know the Absolute Value Function that is:
This is called the Parent Function <em>of the Absolute Value Function.</em>
From the equation:
The term:
means that the the Parent Function is <em>shifted</em> two units <em>to the left</em>.
On the other hand, the term:
means that the function is <em>shifted</em> three units <em>downward. </em>So the result is the graph shown below
This is called the Parent Function <em>of the Absolute Value Function.</em>
From the equation:
The term:
means that the the Parent Function is <em>shifted</em> two units <em>to the left</em>.
On the other hand, the term:
means that the function
First notice that the triangle with sides 
and the triangle with sides 
are similar. This is true because the angle between sides 
in the smaller triangle is clearly 
, while the angle between sides 
in the larger triangle is clearly 
. So the triangles are similar with sides corresponding to 
, respectively.
Now both triangles are
, which means there's a convenient ratio between its sides. If the length of the shortest leg is 
, then the length of the longer leg is 
and the hypotenuse has length 
.
Since
is the shortest leg in the larger triangle, it follows that 
, so 
Now both triangles are
Since
