The vertex of this parabola is at (-3, 2). Which of the following could be its equation?A.y = 4(x - 3)2 - 2B.y = 4(x + 3)2 + 2C.y = 4(x - 3)2 + 2D.y = 4(x + 3)2 - 2SUBMITarrow_backPREVIOUS
Question
The vertex of this parabola is at (-3, 2). Which of the following could be its equation?A.y = 4(x - 3)2 - 2B.y = 4(x + 3)2 + 2C.y = 4(x - 3)2 + 2D.y = 4(x + 3)2 - 2SUBMITarrow_backPREVIOUS
Solution
The standard form of a parabola is y = a(x - h)² + k, where (h, k) is the vertex of the parabola. Given that the vertex of the parabola is (-3, 2), we can substitute h with -3 and k with 2 in the standard form equation.
This gives us y = a(x - (-3))² + 2, which simplifies to y = a(x + 3)² + 2.
Therefore, the equation of the parabola could be y = 4(x + 3)² + 2, which corresponds to option B.
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