Question

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

• A. (−2,24)
• B. (−24,−2)
• C. (−2,−24)
• D. (2,−24)

Answer 1

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).