Answer:
(1, 20)
Step-by-step explanation:
Given the quadratic function: -3x² + 6x + 17, this is the general form of the function ax² + bx + c. So, for the given function:
a = -3
b = 6
c = 17
The vertex can be found by solving for 'h' and 'k' using the following formulas:
h = [tex]\frac{-b}{2a}=\frac{-6}{(22*-3)}=\frac{-6}{-6}=1\\[/tex]
k = [tex]c-\frac{b^{2} }{4a}=17-\frac{6^{2} }{4(-3)}=17-\frac{36}{-12}=17+3=20[/tex]
