Answer:
k = - 9
Step-by-step explanation:
h(x) = x² + 3
g(x) = x² - 6
g(x) = h(x) + k
x² - 6 = x² + 3 + k
-6 - 3 = k
k = - 9
Answer:
Step-by-step explanation:
[tex]h(x)=x^2+3\\\\g(x)=x^2-6\\\\g(x)=h(x)+k\qquad(*)\\\\\text{Substitute to (*)}:\\\\x^2-6=x^2+3+k\qquad\text{subtract}\ x^2\ \text{from both sides}\\\\x^2-x^2-6=x^2-x^2+3+k\\\\-6=3+k\qquad\text{subtract 3 from both sides}\\\\-6-3=3-3+k\\\\-9=k\to k=-9[/tex]
