Use y = 16x^2 to complete the table.
What pattern (symmetry) do you notice from the table?

In the table, we can see values of x and y, to complete it, we just need to input the different values of x in the equation:

y = 16*x^2

For example in the first slot, we have x = -4

Then we will have:

y = 16*(-4)^2 = 240

Then we complete the empty slot with 240.

The table would be:

Now we just need to do the same for the other values:

y(-3) = 16*(-3)^2 = 144

y(-2.5) = 16*(-2.5)^2 = 100

y(-2) = 16*(-2)^2 = 64

y(-1.5) = 16*(-1.5)^2 = 36

y(-1) = 16*(-1)^2 = 16

y(-0.5) = 16*(-0.5)^2 = 4

y(0) = 16*(0)^2 = 0

y(0.5) = 16*(0.5)^2 = 4

y(1) = 16*(1)^2 = 16

y(1.5) = 16*(1.5)^2 = 36

y(2) = 16*(2)^2 = 64

y(2.5) = 16*(2.5)^2 = 100

y(3) = 16*(3)^2 = 144

y(4) = 16*(4)^2 = 240

Then the complete table is:

Then we can see that there is a symmetry around the value x = 0.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.