1. Determine a relationship between x- and y-values. Write an equation.
{(1, -1), ( 2, -2), (3, -3), (4, -4)
A: x = -y?
2. How am I supposed to graph y = -x^2 - 7?
2. -x^2 -7
Open down
Move down -7 units
you already asked that first question
http://www.jiskha.com/display.cgi?id=1383600600
y = -x or x+y=0
2. you should know what y = x^ looks like
reflect it in the x-axis to get y = -x^2
drop it 7 units to get your graph
or
make a table of values of about 8-10 points
e.g (0, -7) , (1, -8), (2, -11) etc
plot them and join with a smooth curve.
should look like this:
http://www.wolframalpha.com/input/?i=plot+y+%3D+-x%5E2+-+7
To determine a relationship between x- and y-values and write an equation, you need to observe the given data points and look for any patterns or trends. Let's analyze the given data points: {(1, -1), (2, -2), (3, -3), (4, -4)}.
Notice that for each x-value, the respective y-value is the negative of the x-value. This means that, in this case, the equation relating x and y can be written as y = -x.
Therefore, the relationship between x- and y-values is given by y = -x.
Moving on to graphing the equation y = -x^2 - 7, there are a few steps you can follow:
1. Set up a coordinate system by drawing two perpendicular lines (a horizontal x-axis and a vertical y-axis). Select a suitable scale for your graph that can accommodate the numbers involved.
2. Mark a few points on the graph that satisfy the given equation. You can choose different x-values and calculate their corresponding y-values. For example, if you set x = 0, y = -0^2 - 7 = -7. So you can plot the point (0, -7). Similarly, you can choose more x-values and plot their corresponding points.
3. Once you have a few points plotted, connect them by drawing a smooth curve. Since the equation y = -x^2 - 7 represents a downward-opening parabola, the curve should be a downward curve.
4. It's also helpful to label the axes and identify any important points on the graph, such as the vertex or any intercepts.
By following these steps, you should be able to accurately graph the equation y = -x^2 - 7.