Question

Hello! I need help putting my answers in complete sentences! I can't figure how to do it and not sound illiterate lol Are you ready for adventure? You bet you are!

For this adventure, you and world renowned Professor Sherlock McMerlock are traveling to the Lost Island of Laplaya. When the boat arrives on the island shore, you and Professor McMerlock disembark on your adventure. You trudge through the jungles and arrive at three impressively large doors. About eye level on each door is an intricately carved keyhole. Directions are scratched into the wood above each keyhole.

Answer 1

1.) To open these doors, you must match the number and type of solutions for the following two functions in standard form.
• f(x) = x2 + 6x – 16
• g(x) = x2 +6x + 1

Answer 2

Match the following descriptions of the solutions to each of the functions above.
Hint: they each have their own match.
• Two real irrationals solutions
• Two real rationals solutions
f(x) = x^2 + 6x – 16
g(x) = x^2 +6x + 1

Answer 3

By completing the square, we can write

f(x) = (x + 3)^2 - 25, and
g(x) = (x+3)^2 - 8
2.)“To pass by me, you must tell me how to convert standard form into the general, vertex form... I have a test on it next week.”
From 1. the vertex of f(x) is (-3, -25)

Answer 4

“Only the solutions of g(x) will lead you safely across.”
From 1. the roots of g(x) are -3 - 2 sqrt(2), and -3 + 2 sqrt(2)