The vertex of the parabola below is at the point (5, -3). Which of the equations below could be the one for this parabola?A.x = -3(y + 3)2 + 5B.x = 3(y + 3)2 + 5C.y = -3(x - 5)2 - 3D.x = 3(y - 5)2 - 3SUBMITarrow_backPREVIOUS
Question
The vertex of the parabola below is at the point (5, -3). Which of the equations below could be the one for this parabola?A.x = -3(y + 3)2 + 5B.x = 3(y + 3)2 + 5C.y = -3(x - 5)2 - 3D.x = 3(y - 5)2 - 3SUBMITarrow_backPREVIOUS
Solution
The vertex form of a parabola is given by y = a(x - h)² + k, where (h, k) is the vertex of the parabola. In this case, the vertex is given as (5, -3). Therefore, the equation of the parabola should be in the form y = a(x - 5)² - 3.
Looking at the options:
A. x = -3(y + 3)² + 5 B. x = 3(y + 3)² + 5 C. y = -3(x - 5)² - 3 D. x = 3(y - 5)² - 3
Only option C matches the form y = a(x - h)² + k with the given vertex (5, -3). Therefore, the equation of the parabola is y = -3(x - 5)² - 3.
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