85,899 views
13 votes
13 votes
What is the vertex of the quadratic function f(x) =(x-6)(x+2)

User Danfi
by
2.7k points

2 Answers

17 votes
17 votes

Answer:

Explanation:

f(x) = x^2 - 4x - 12

x = -(-4)/2 = 4/2 = 2

(2)^2 - 4(2) - 12 = 4 - 8 - 12 = -4 - 12 = -16

vertex: (2, -16)

User Csmaster
by
3.3k points
26 votes
26 votes

Answer:

(2, -16)

Step-by-step explanation: set both (x +2) and (x-6) = 0.

You get the two x-intercepts -2 and 6. Find the midpoint of the two intercepts by -2 + 6 / 2 which gives you x=2. Then plug 2 in for x and solve the original equation. ( 2 - 6)(2+2) = -16. Therefore the vertex is at (2,-16).

User Ritesh Gune
by
3.3k points