For questions 1 and 2, use the integer values of x from -3 and 3 to graph the equation

1. y= -2x^2 +3
(the ^ means an exponent)

2. y= 1/3 |x| -2

Find the horizontal change and the vertical change from the translation
P(4, -4) --> (-4, 7)

what? just happend?

I can help

To graph the equation y = -2x^2 + 3, you can use the given integer values of x from -3 to 3.

Here are the steps to graph the equation:

1. Substitute each value of x into the equation to find the corresponding y-values. For example, when x = -3, y = -2(-3)^2 + 3 = -2(9) + 3 = -18 + 3 = -15.

2. Plot the points (x, y) on a graph. For example, the first point would be (-3, -15). Repeat this step for the other values of x to get a set of points.

3. Connect the points with a smooth curve. This curve represents the graph of the equation y = -2x^2 + 3.

To find the horizontal change and vertical change from the translation P(4, -4) --> (-4, 7):

1. The horizontal change is the difference between the x-coordinates of the two points. In this case, (-4) - 4 = -8.

2. The vertical change is the difference between the y-coordinates of the two points. In this case, 7 - (-4) = 11.

Therefore, the horizontal change is -8 and the vertical change is 11.

For #1 and 2, type in your function at wolframalpha.com or any of many other fine graphing web sites.

-4 = 4-8
7 = -4+11

so, (x,y) -> (x-8,y+11)