SOLUTION: f: x= x(squared) +px +q (-3,0) (2,5) A) calculate the value of p and q B) t is a negative real number and (t,t-1) is a point on the graph. Find the value of t.

Algebra ->  Linear-equations -> SOLUTION: f: x= x(squared) +px +q (-3,0) (2,5) A) calculate the value of p and q B) t is a negative real number and (t,t-1) is a point on the graph. Find the value of t.      Log On


   

Question 864206: f: x= x(squared) +px +q (-3,0) (2,5)
A) calculate the value of p and q
B) t is a negative real number and (t,t-1) is a point on the graph. Find the value of t.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
(B) First do part (A) and use the p and q values in the function.

(A) Those points give you:
%28-3%29%5E2-3p%2Bq=0 and 2%5E2%2B2p%2Bq=5
which is the system
9-3p%2Bq=0 and 4%2B2p%2Bq=5
-3p%2Bq=-9 amd 2p%2Bq=1
SYSTEM:
highlight%283p-q=9%29
highlight%282p%2Bq=1%29

ELIMINATION METHOD is most convenient.
5p=10
highlight%28p=2%29 from that find highlight%28q=-3%29

Function is highlight%28f%28x%29=x%5E2%2B2x-3%29, which you can evaluate for f%28x%29=t-1 and x=t, and solve to find t.