Square Within a Square
Nicole Mosteller
EMAT 6690
Find the equation
that fits the following function.
Graph 1: To find the equation for the
relation, use the given information.
Substitution on f(x):
Let's first start with the 2nd degree
function 
and
substitute the following know values:
(-1, 2), (0, 1), and (1,0).
From this substitution, the following
equations are derived.
Substitution on f'(x):
Because we know that the maximum occurs
at (-1, 2), we can substitute x = -1 into the 1st derivative function.
This gives us Equation 4.
And with the minimum occurring at (1,
0), we can substitute x = 1 into the 1st derivative function as
well.
This gives us Equation 5.
Substitution on f''(x):
Our inflection point at (0, 1) allows
us to make a substitution into the 2nd derivative function x =
0.
This gives us Equation 6.
Using these six
equations, can we find the values of a, b, c, w, y, and z so as
to solve ?
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