Question

Make a t-table of values for y = x2 + 4x + 1. A suggestion is to begin your values with -5.

1.List your ordered pairs from the table. Use parenthesis for each pair, such as (-1,2).

2.Which point is the vertex of the parabola?

a) (-2, -3)
b) (2, 3)
c) (-2, 3)
d) (2, -3)

3. The line which you folded is called the line of symmetry. This divides the parabola into two matching halves or mirror images. The equation of the line is x = ___ because it is vertical. Look to see where your folded line crosses the x-axis. Choose the equation below.

a) x = -2
b) x = 2
c) x = 0
d)None

Answer 1

Okay. For the first one, you make a table that looks like this.
x |y All you do to get that is record the values you plugged
-5 |6 in for x and the values you got out of those.
-4 |1 Then, you just put those sets of numbers in parens. So,
-3 |-2 (-5,6) (-4,1) and so on.
-2 |-3 If you look at the table, you can see right where the values
-1 |-2 turn around and start repeating, but backwards. It's at
0 |1 (-2,-3). Do you see why? The numbers on both sides are -2.
1 |6 For the last one, they just want the x value of the ordered
2 |13 pair you just found. So, -2.
3 |22
4 |33
5 |46

Answer 2

That didn't come out as pretty as when I typed it. Hopefully, you can still make some sense of it.