Sagot:
Ang form ng Vertex ng equation ay # y = -32 (x ^ 2-5 / 4) ^ 2 + 52 #
Paliwanag:
Ang form ng Vertex ng equation ay # y = a (x-h) ^ 2 + k #
Tulad ng mayroon kami # y = -32x ^ 2 + 80x + 2 #
o # y = -32 (x ^ 2-80 / 32x) + 2 #
o # y = -32 (x ^ 2-5 / 2x) + 2 #
o # y = -32 (x ^ 2-2xx5 / 4x + (5/4) ^ 2) +2 - (- 32) xx (5/4) ^ 2 #
o # y = -32 (x ^ 2-5 / 4) ^ 2 + 2 + 32xx25 / 16 #
o # y = -32 (x ^ 2-5 / 4) ^ 2 + 2 + 50 #
o # y = -32 (x ^ 2-5 / 4) ^ 2 + 52 #, kung saan ang kaitaasan ay #(-5/4,-48)#
graph {-32x ^ 2 + 80x + 2 -10, 10, -60, 60}
Sagot:
y = - 32 (x - 5/4) ^ 2 + 52
Paliwanag:
#y = - 32x ^ 2 + 80x + 2 #
x-coordinate ng vertex:
#x = -b / (2a) = 80/64 = 5/4 #
y-coordinate ng vertex:
#y (5/4) = -32 (25/16) + 80 (5/4) + 2 = -50 + 100 + 2 = 52 #
Vertex form ng y:
#y = - 32 (x - 5/4) ^ 2 + 52 #
