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star6097
26.06.2019 •
Mathematics
Correct answers only ! graph g(x) = 3x^2 - 12x - 3
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Ответ:
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}](/tpl/images/0019/7925/99239.png)
= 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
Ответ: