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DraeDrae138
26.09.2019 •
Mathematics
What is the vertex of g(x) = 3x2 - 12x + 7?
(-6,-5)
(-2,-5)
(2,-5)
(6,-5)
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Ответ:
vertex ( 2 , -5).
Step-by-step explanation:
Given : g(x) = 3x² - 12x + 7.
To find : What is the vertex.
Solution: We have given
g(x) = 3x² - 12x + 7.
Step 1 : Standard form of quadratic equation y = ax² + bx + c.
x coordinate =![\frac{-b}{2a}](/tpl/images/1336/7731/1510a.png)
Where, b = -12 , a = 3
x coordinate =
.
x coordinate =![\frac{12}{6}](/tpl/images/1336/7731/c3276.png)
x coordinate = 2
Now plug the x = 2 in equation 3x² - 12x + 7 to find y coordinate
3(2)² - 12(2) + 7.
3(4) - 24 + 7.
12 -24 + 7
- 12 + 7
y = -5.
Then vertex ( 2 , -5).
Therefore, vertex ( 2 , -5).
Ответ: