Does anyone know how to graph quadratic functions (with parabolas). Could someone please help me!!Could you help me with these two problems don't forget to make a chart for x, the equation, the y, and the coordinates.
1. Y=2x^2
2. Y=-5x^2
Please and by the way make a table of values
First you would make a table and choose several values for x. say -2, -1, 0, 1, 2. then plug those into the equation and see what is equals, this is your y value. Plot these points on the graph and draw! :)
Of course! I can definitely help you with graphing quadratic functions, including creating a chart for the x, equation, y, and coordinates.
To graph a quadratic function, we can start by creating a table of values. We'll substitute different values of x into the equation and find the corresponding values of y. Once we have a few points, we can plot them on a graph and connect them to create a parabola.
Let's start with the first equation: Y = 2x^2
To create a table of values, choose different values of x and find the corresponding y. Let's choose x values from -3 to 3. You can use any values you prefer, but I'll use these for demonstration purposes.
For x = -3:
Y = 2(-3)^2 = 2(9) = 18
For x = -2:
Y = 2(-2)^2 = 2(4) = 8
For x = -1:
Y = 2(-1)^2 = 2(1) = 2
For x = 0:
Y = 2(0)^2 = 2(0) = 0
For x = 1:
Y = 2(1)^2 = 2(1) = 2
For x = 2:
Y = 2(2)^2 = 2(4) = 8
For x = 3:
Y = 2(3)^2 = 2(9) = 18
Now we have our table of values:
x | Y
--------
-3 | 18
-2 | 8
-1 | 2
0 | 0
1 | 2
2 | 8
3 | 18
Now, let's plot these points on a graph. The x values will be plotted along the x-axis, and the corresponding y values will be plotted along the y-axis.
Once you plot these points, you can connect them smoothly to create a parabola.
Now, let's move on to the second equation: Y = -5x^2
Using the same process, we'll create a table of values and plot the points on a graph.
For x = -3:
Y = -5(-3)^2 = -5(9) = -45
For x = -2:
Y = -5(-2)^2 = -5(4) = -20
For x = -1:
Y = -5(-1)^2 = -5(1) = -5
For x = 0:
Y = -5(0)^2 = -5(0) = 0
For x = 1:
Y = -5(1)^2 = -5(1) = -5
For x = 2:
Y = -5(2)^2 = -5(4) = -20
For x = 3:
Y = -5(3)^2 = -5(9) = -45
Now we have our table of values:
x | Y
--------
-3 | -45
-2 | -20
-1 | -5
0 | 0
1 | -5
2 | -20
3 | -45
Plot these points on a graph using the x-axis and y-axis.
Connect these points smoothly, and you will have the graph of the quadratic function Y = -5x^2.
I hope this explanation was helpful! If you have any more questions, feel free to ask.