functions f(x) and g(x) are shown below:

f(x) = x2
g(x) = x2 + 8x + 16

in which direction and by how many units should f(x) be shifted to obtain g(x)?

a. left by 4 units
b. right by 4 units
c. left by 8 units
d. right by 8 units

A. Left by 4 units

Step-by-step explanation:

ƒ(x) = x²

It has a vertex at (0, 0), and the y-axis is the axis of symmetry

g(x) = x² + 8x + 16 = (x + 4)²

You have added 4 to the value of x, so you have shifted the graph four units to the left.

Thus, to make the graphs of ƒ(x) and g(x) coincide, you should shift ƒ(x) left by 4 units.

The diagram below shows ƒ(x) in red and g(x) in green.

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.

tangent

step-by-step explanation: