If point p(2,-4) is reflected over the x-axis, determine the coordinates of the image.

(-4, 2)
(4, 2)
(2, 4)
(-2, -4)

The answer is (2,4)

Hi! here the notation for a point is (x,y), so a reflection over the x axis will turn a point (x,y) in a reflected point (x, -y). This means that you change y for -y, and x stays the same.

Then if we have the point (2,-4), after the reflection in the x axis, we will get (2,-(-4)) = (2,4)

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