Question

1.) p^2+14p-38=0
what the vertex?

Answer 1

vertex = (- 7, - 87)

Explanation:

given a parabola in standard form : ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

`x_(vertex)` = -
`(b)/(2a)`

p² + 14p - 38 is in standard form

with a = 1, b = 14, c = - 38, hence

`x_(vertex )` = -
`(14)/(2)` = -7

substitute x = - 7 into the equation for corresponding value of y

y = (- 7)² + 14(- 7) - 38 = 49 - 98 - 38 - - 87

vertex = (- 7, - 87)