How would you graph an equation with an exponent?
The equation I have says x^2 + y^2 = 9
How is that graphed?
Do you mean on a calculator? type it in just as you have above, except put paranthesis around it.
x2+y2=9 square root --> x+y= +-3--> y= -x +- 3 type into calculator it should be a straight line
Cinnamon, that is so wrong.
Samanth, the equation is a circle at the origin with radius 3. You need to memorize this equation
(x-h)^2 + (y-j)^2=r^2
a circle at (h,j) with radius r.
To graph an equation with an exponent, such as the one you provided (x^2 + y^2 = 9), you can follow these steps:
1. Determine the range of values for x and y. In this case, let's choose a range of values for x and y between -3 and 3.
2. Create a table of values by substituting different values for x and solving for y. For example, you could choose x = -3, -2, -1, 0, 1, 2, and 3. Substitute each value for x into the equation and solve for y.
For x = -3: (-3)^2 + y^2 = 9 -> 9 + y^2 = 9 -> y^2 = 0 -> y = 0
Repeat this process for other chosen values of x.
3. Plot the ordered pairs (x, y) that you found in the previous step on a coordinate plane.
For x = -3, y = 0 -> plot the point (-3, 0)
Repeat this process for other ordered pairs.
4. Connect the points with a smooth curve, as the equation represents a circle. Since every point on the circle satisfies the equation, drawing a curve will give you the entire graph of the equation.
In this case, the graph of the equation x^2 + y^2 = 9 will be a circle with a radius of 3, centered at the origin (0, 0) on the coordinate plane.