The vertex of this parabola is at (-5, 4). Which of the following could be its equation?A.y = -(x + 5)2 - 4B.y = -(x - 5)2 + 4C.y = -(x - 5)2 - 4D.y = -(x + 5)2 + 4SUBMITarrow_backPREVIOUS
Question
The vertex of this parabola is at (-5, 4). Which of the following could be its equation?A.y = -(x + 5)2 - 4B.y = -(x - 5)2 + 4C.y = -(x - 5)2 - 4D.y = -(x + 5)2 + 4SUBMITarrow_backPREVIOUS
Solution
The equation of a parabola in vertex form is given by y = a(x - h)² + k, where (h, k) is the vertex of the parabola. Given that the vertex of the parabola is (-5, 4), we can substitute h with -5 and k with 4 in the equation.
This gives us the equation y = a(x - (-5))² + 4, which simplifies to y = a(x + 5)² + 4.
Looking at the options, the equation that matches this form is D. y = -(x + 5)² + 4.
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