Question

Instructions: Select the correct answer from each drop-down menu.

Answer 1

Answer:

1) Option A

2) Option C

3) Option A

Step-by-step explanation:

We have given that :  function $y=f(x)=x^2$

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 $y=f(x+6)=(x+6)^2$

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 $y=f(x)+6=x^2+6$

so, Option C is correct

3) 1.5 times of the x-values of the function $y=f(x)=x^2$

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

Therefore, $y=f(3x/2)=(3x/2)^2$

So,  Option A is correct

Answer 2

The answers are A, C, A in the order they are listed