Which pair of equations generates graphs with the same vertex?

y = - (x + 4) 2 and y = (x - 4) 2

y = - 4x2 and y = 4x2

y = - x2 - 4 and y = x2 + 4

y = (x - 4) 2 and y = x2 + 4

Question

Mathematics

Kasen Cox

6 September, 03:34

Which pair of equations generates graphs with the same vertex?

y = - (x + 4) 2 and y = (x - 4) 2

y = - 4x2 and y = 4x2

y = - x2 - 4 and y = x2 + 4

y = (x - 4) 2 and y = x2 + 4

+2

Answers (1)

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Humphrey · Answer 1

The correct answer among the choices given is the second option. The pair which generates the same vertex are y = - 4x² and y = 4x². The vertex for both parabolas are at the coordinate (0,0) or the origin. The first expression opens downward while the latter opens upward.

Which pair of equations generates graphs with the same vertex?y = - (x + 4) 2 and y = (x - 4) 2y = - 4x2 and y = 4x2y = - x2 - 4 and y = x2 + 4y = (x - 4) 2 and y = x2 + 4

Which pair of equations generates graphs with the same vertex?

y = - (x + 4) 2 and y = (x - 4) 2

y = - 4x2 and y = 4x2

y = - x2 - 4 and y = x2 + 4

y = (x - 4) 2 and y = x2 + 4