(y 3 - y2 + y + 3) = (y + 1)

y = -1

Step-by-step explanation:

Find roots (zeroes) of :       F(y) = y3-y2+2

Polynomial Roots Calculator is a set of methods aimed at finding values of  y  for which   F(y)=0  Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  y  which can be expressed as the quotient of two integersThe Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading CoefficientIn this case, the Leading Coefficient is  1  and the Trailing Constant is  2.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2