Match the parabolas represented by the equations with their foci. Tiles y = - x2 + 4x + 8 y = 2x2 + 16x + 18 y = - 2x2 + 5x + 14 y = - x2 + 17x + 7 y = 2x2 + 11x + 5 y = - 2x2 + 6x + 5 Pairs Focus Equation of Parabola (-2.75, - 10) arrowBoth (2, 11.75) arrowBoth (-4, - 13.875) arrowBoth (1.25, 17) arrowBoth

Question

Angelina Peterson

Mathematics

1 May, 09:03

Match the parabolas represented by the equations with their foci. Tiles y = - x2 + 4x + 8 y = 2x2 + 16x + 18 y = - 2x2 + 5x + 14 y = - x2 + 17x + 7 y = 2x2 + 11x + 5 y = - 2x2 + 6x + 5 Pairs Focus Equation of Parabola (-2.75, - 10) arrowBoth (2, 11.75) arrowBoth (-4, - 13.875) arrowBoth (1.25, 17) arrowBoth

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Barkley · Answer 1

Given:

y = - x2 + 4x + 8

y = 2x2 + 16x + 18

y = - 2x2 + 5x + 14

y = - x2 + 17x + 7

y = 2x2 + 11x + 5

y = - 2x2 + 6x + 5

Standard formula : y = ax ² + bx + c; - (b/2a) is the x-coordinate of the vertex. Substitute the value of x to find the value of y.