How do I graph y = -x squared + 5?

I read that as

y = -x^2 + 5

you should know what y = x^2 looks like

reflect that in the x-axis
now move the new curve up 5 units

take a look here:

http://www.wolframalpha.com/input/?i=plot+y+%3D+-x%5E2+%2B+5

or

make a table of values of around 8 points, plot them and connect with a smooth curve to get a graph that looks like the one in the link I gave you

I made an error when I typed this. The correct equation is y = x^2 - 7.

even simpler .....

follow my suggestion

To graph the equation y = -x^2 + 5, you can start by making a table of values to plot points on a coordinate plane. Here's how you can do it:

1. Choose a set of x-values. For simplicity, let's choose a range, like -5 to 5.
2. Plug each x-value into the equation to find the corresponding y-value.
- For example, when x = -5, y = -(-5)^2 + 5 = -25 + 5 = -20.
- Repeat this step for each chosen x-value.
- You should end up with pairs of (x, y) values.
3. Plot these points on a Cartesian plane (x-y plane), using the x-value as the horizontal axis and the y-value as the vertical axis.
4. Connect the points with a smooth curve. This curve is your graph of the equation y = -x^2 + 5.

Alternatively, you can also use a graphing calculator or graphing software to quickly generate the graph for you by entering the equation.