Qs. Write down a quadratic polynomial with a minimum value of 3 when x=2, and P(0)=15
im not looking for the answer here, i would jst realli like to no how to get there and the processes of working these kind of questions out
thanks so much for any help given =D
I like the following method better...
Use the vertex form of the quadratic:
where (h, k) is the vertex. The vertex is the minimum or maximum value of the parabola, so plug (2, 3) in:
You're also given that P(0) = 15, so plug in 0 for x and 15 for P(x), and solve for a:
I'm sure you can figure out the rest.