Raymond B. answered 03/28/22
Math, microeconomics or criminal justice
A, D, and G are correct. The rest are incorrect
x^2 +2x - 8
= x^2 +2x + 1 -8 -1 = (x+1)^2 - 9 in vertex form
it's an upward opening parabola with vertex (-1, -9)
A it's always concave up
B Never concave down
C (-1,-9) is the vertex
D y interecept is -8
E y interecept is -8 (0,-8) not (0, 2)
F and G are almost trick questions' At first glance they seem identical, but
F is false, G is correct, as the parabola is decreasing before it reaches the vertex
then for x>-1 the parabola increases
but F has an interval with a bracket closing the interval which means it includes the vertex as decreasing, but at the vertex it is not decreasing, it's neither increasing or decreasing. It's where it changes direction.