169k views
0 votes
The functions f(x) = (x + 5)^2 + 2 and g(x) = -(x − 3)^2−3 have been rewritten using the completing-the-square method. Is the vertex for each function a minimum or a maximum? Explain your reasoning for each function.

User Ryanqy
by
8.1k points

1 Answer

3 votes

Answer:

When the leading coefficient is positive, the graph opens up. It means the vertex is its minimum.

When the leading coefficient is negative, the its vertex is its maximum.

  • f(x) - vertex is minimum
  • g(x) - vertex is maximum
User Yabert Yanuar
by
8.1k points

Related questions

1 answer
3 votes
122k views
asked Oct 17, 2024 43.5k views
Michael Rogers asked Oct 17, 2024
by Michael Rogers
8.3k points
1 answer
0 votes
43.5k views