Write an equation for a quadratic function that has the following x intercepts and specific opening direction, but no stretch or shrink

Question

X-intercepts -11 and -7 opens up

Answer 1

y = (x+11)(x+7) intercept form

y = x^2 + 18x + 77 general form

y = x^2 + 18x + 81 - 81 + 77

y = (x + 9)^2 - 4 vertex form

Answer 2

axis of symmetry, where vertex is located is x=-9, the midpoint of the two x intercepts.

y-b = (x+9)^2 where b is the y value of the vertex, (-9,b)