What are the coordinates of the vertex? *

(2,-7)

Step-by-step explanation:

The equation of a parabola is y=a(x-h)^2 + k

the vertex in this equation is (h,k)

Since the equation that is given is y=(x-2)^2-7

we can conclude that the vertex will be (2,-7)

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.