Question

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!! Graph g(x) = 3x^2 - 12x - 3

Answer 1

Answer: Vertex = (2, -15)  2nd point = (0, -3)

Step-by-step explanation:

g(x) = 3x² - 12x - 3

      = 3(x² - 4x - 1)

          a=1   b=-4  c=-1

Find the x-value of the vertex by using the formula for the axis of symmetry: $x = \dfrac{-b}{2a}$

$x = \dfrac{-(-4)}{2(1)}$

      $= \dfrac{4}{2}$

         = 2

Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3

g(2) = 3(2)² - 12(2) - 3

       = 12  - 24 - 3

       = -15

So, the vertex is (2, -15)  ←  PLOT THIS COORDINATE

Now, choose a different x-value.  Plug it into the equation and solve for y. I chose x = 0

g(0) = 3(0)² - 12(0) - 3

       = 0  - 0 - 3

       = -3

So, an additional point is (0, -3)  ←  PLOT THIS COORDINATE