Anumber x increased by 5 is less than −16 . translate the sentence into an inequality.

A number X is increased by 5, means that you are adding 5 to the number x, which is written as x +5.

Then that needs to be less than -16, so the full equation becomes:

x + 5 < -16

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4