Find the vertex of the parabola y -3 x 2-12 x -12 A- -2-24B- -24-2C- -2-24D- 2-24

The correct option is C (−2,−24)Here, a=3 and b=12. So, the x coordinate of the vertex is: 12/2×3 = 2 Substituting in the original equation to get the y co ...

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Question

Find the vertex of the parabola $y = 3 x^{2} + 12 x - 12$

(−2,24)

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(−24,−2)

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(−2,−24)

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(2,−24)

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Solution

The correct option is C (−2,−24)
Here, a=3 and b=12. So, the x -coordinate of the vertex is:
$- \frac{12}{2 \times 3} = - 2$
Substituting in the original equation to get the y -coordinate, we get:
$y = 3 (- 2)^{2} + 12 (- 2) - 12$
= -24
So, the vertex of the parabola is at (−2,−24).

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Find the vertex of the parabola y=3x2+12x−12

The correct option is C (−2,−24)Here, a=3 and b=12. So, the x -coordinate of the vertex is: −122×3=−2 Substituting in the original equation to get the y -coordinate, we get: y=3(−2)2+12(−2)−12 = -24 So, the vertex of the parabola is at (−2,−24).

Find the vertex of the parabola $y = 3 x^{2} + 12 x - 12$

The correct option is C (−2,−24)
Here, a=3 and b=12. So, the x -coordinate of the vertex is:
$- \frac{12}{2 \times 3} = - 2$
Substituting in the original equation to get the y -coordinate, we get:
$y = 3 (- 2)^{2} + 12 (- 2) - 12$
= -24
So, the vertex of the parabola is at (−2,−24).