use technology to find points and then graph the function $y = 2^{x+2}$, following the instructions…

use technology to find points and then graph the function $y = 2^{x+2}$, following the instructions below.\ndone plotting points\nplot at least four points with integer coordinates that fit on the axes below. click a point to delete it.

use technology to find points and then graph the function $y = 2^{x+2}$, following the instructions below.\ndone plotting points\nplot at least four points with integer coordinates that fit on the axes below. click a point to delete it.

Answer

Explanation:

Step1: Choose integer x-values

Let's pick ( x = -2, -1, 0, 1 ) as integer x-values.

Step2: Calculate y for x = -2

Substitute ( x = -2 ) into ( y = 2^{x + 2} ):
( y = 2^{-2 + 2} = 2^{0} = 1 ). So the point is ( (-2, 1) ).

Step3: Calculate y for x = -1

Substitute ( x = -1 ):
( y = 2^{-1 + 2} = 2^{1} = 2 ). Point: ( (-1, 2) ).

Step4: Calculate y for x = 0

Substitute ( x = 0 ):
( y = 2^{0 + 2} = 2^{2} = 4 ). Point: ( (0, 4) ).

Step5: Calculate y for x = 1

Substitute ( x = 1 ):
( y = 2^{1 + 2} = 2^{3} = 8 ). Point: ( (1, 8) ).

(These points can be plotted on the graph. Additional points like ( x = 2 ) would give ( y = 16 ), but it may not fit the axis scale shown. The four points above fit within the visible axes.)

Answer:

Four points with integer coordinates are ((-2, 1)), ((-1, 2)), ((0, 4)), and ((1, 8)) (to be plotted on the graph).