Question

Find values of a and k for a parabola containing the points given:

y - k = a(x + 3)2; (-5,1) and (1,7)

A. a = 2; k = 3
B. a = 0.5; k = -1
C. a = .5; k = 3
D. a = 2; k = -1

Answer 1

\[y=a(x+3)^2+k\]
\[1=a(-5+3)^2+k\]
\[1=4a+k\] is one equation

Answer 2

\[7=a(1+3)^2+k\]
\[7=16a+k\] is the second equation

Answer 3

solve
\[4a+k=1\]\[16a+k=7\] for \(a\) and \(k\)

Answer 4

Thanks!