How to change the gradient of polynomial?

Question

I have a polynomial equation:

$$y=(-2 \times 10^{-10} \times x^5)+(1 \times 10^{-7} \times x^4)-(2 \times 10^{-5} \times x^3)+(0.0018 \times x^2)-(0.0156 \times x)-0.164$$

I want to be able to change the equation of this line, so that when x=10, y=0.64.

Please rephrase your question and if possible give some background and motivation. As it stands, it's incomprehensible. — MGA, Dec 03 '14 at 11:24
So you want to find a different polynomial whose graph passes through the two given points? What should your new polynomial have in common with the existing one you quote? — hmakholm left over Monica, Dec 03 '14 at 11:26
It should be the same shape, just intersecting the specified point. — TDJ92, Dec 03 '14 at 11:27
@TDJ92: What does "the same shape" mean here? Can you describe what would make the "shapes" of two polynomials different? — hmakholm left over Monica, Dec 03 '14 at 11:31
Nothing, it's literally moving the polynomial from (10,-0.15902) to (10,0.64). The shape should remain exactly the same — TDJ92, Dec 03 '14 at 11:38

MGA · Accepted Answer · 2014-12-03T23:25:05.193

0

Just add a constant term to shift the polynomial up by $0.64 - (-0.15902) = 0.79902$.

In other words your $-0.164$ becomes $-0.164 + 0.79902 = 0.63502$.

That will do it, if I understand your question correctly now.

See here for an explanation of function transformations.

edited Dec 03 '14 at 23:25

answered Dec 03 '14 at 11:58

MGA

1 Answers1