The vertex of the parabola below is at the point (2, -5). Which of the equations below could be the one for this parabola?A.x = -4(y - 2)2B.y = (x + 2)2 - 5C.y = (x + 5)2 + 2D.y = (x - 2)2 - 5SUBMITarrow_backPREVIOUS
Question
The vertex of the parabola below is at the point (2, -5). Which of the equations below could be the one for this parabola?A.x = -4(y - 2)2B.y = (x + 2)2 - 5C.y = (x + 5)2 + 2D.y = (x - 2)2 - 5SUBMITarrow_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 at the point (2, -5), we can substitute h = 2 and k = -5 into the equation. This gives us y = a(x - 2)² - 5.
Looking at the options, the equation that matches this form is D. y = (x - 2)² - 5. Therefore, D is the correct answer.
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