Answer: Vertex (2, -15) 2nd Point (0, -3)
Step-by-step explanation:
g(x) = 3x² - 12x - 3 ⇒ a=3, b=-12, c=-3
Use the axis of symmetry formula to find the x-value of the vertex:
[tex]x=\dfrac{-b}{2a}=\dfrac{-(-12)}{2(3)}=\dfrac{12}{6}=2[/tex]
Input thex-value into the given equation to find the y-value:
g(2) = 3(2)² - 12(2) - 3
= 3(4) - 24 - 3
= 12 - 27
= -15
So, the vertex is (2, -15)
For the 2nd point, plot the y-intercept (which is when x = 0) to get (0, -3).
To graph, plot the vertex first and then the 2nd point.
