Determine 83003

Determine the value of the number a so that the graphs of the functions f: y = x2 and g: y = 2x + a have exactly one point in common.

Correct answer:

a =  -1

Step-by-step explanation:

f: y = x2 g: y = 2x + a  fg={X}  x2 = 2x+a  x22xa=0  D = (2)24 1 (a) D = 4+4a  D=0  4+4a=0  a=1   Verifying Solution:  x2=2x+a  x2=2x+(1) x22x+1=0  a=1;b=2;c=1 D=b24ac=22411=0 D=0  x1,2=2ab±D=22±0=1± x1,2=1±0 x1=x2=1

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