Instructions: select the correct answer from each drop-down menu.
graph the function y = f(x) = x2.
if the graph of the given function were shifted six units to the left, the new graph would represent the function,
a.) y=f(x+6) =(x+6)^2
b.) y=f(x-6)=(x-6)^2
c.) y=f(x)+6=x^2+6
d.) y=f(x)-6=x^2-6
if the graph of the given function were shifted upward by six units, the new graph would represent the function,
a.) y=f(x+6)=(x+6)^2
b.) y=f(x-6)=(x-6)^2
c.) y=f(x)+6=x^2+6
d.) y=f(x)-6=x^2-6
for the same y-values, the corresponding x-values of the function,
a.) y=f(3x/2)=(3x/2)^2
b.) y=f(2x/3)=(2x/3)^2
c.) y=f(x+1.5)=(x+1.5)^2
d.) y=f(x)+1.5=x^2+1.5
are 1.5 times of the x-values of the function y = f(x) = x2.

1) Option A

2) Option C

3) Option A

Step-by-step explanation:

We have given that :  function

1) If the graph of the given function were shifted six units to the left

translation to left means b unit is add on the function

i.e f(x)=f(x+b)

Therefore,the new graph have the function

so, Option A is correct

2) If the graph of the given function were shifted upward by six units

translation to upward means b unit is add to the function

i.e f(x)=f(x)+b

Therefore,the new graph have the function

so, Option C is correct

3) 1.5 times of the x-values of the function

1.5 times of the x-values means 1.5x = 3x/2

Therefore,

So,  Option A is correct

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.