Answer:
[tex](\frac{5}{2} , -\frac{1}{4} )[/tex]
Step-by-step explanation:
Given:
f(x) = (x - 3)(x - 2)
"Vertex"
Find the x intercepts by using the zero product property,
(x - 3) (x - 2) = 0
x = 3 x = 2
X-int = (3,0) , (2,0)
Now find the y intercepts by factoring the equation ,
(x - 3)(x - 2)
x * x
x^2
x * -2
x^2 -2x
-3 * x
x^2 -2x -3x
-3 * -2
x^2 -2x -3x + 6
Combining like terms:
x^2 -5x + 6
Replace x with zero,
0^2 -5(0) + 6
6
y intercept = (0,6)
Now graph :
Graph shown
Find vertex - [tex](\frac{5}{2} , -\frac{1}{4} )[/tex]
