What would a graph look like with the equation y=-2(x)2+3.the two next to the x means to the second power.
Please help me
I forgot to put use the integers -3 to 3 to graph the equation.
For x = - 3
y = - 2 ( x ) ^ 2 + 3 = - 2 * ( - 3 ) ^ 2 + 3 = - 2 * 9 + 3 = - 18 + 3 = - 15
for x = - 2
y = - 2 ( x ) ^ 2 + 3 = - 2 * ( - 2 ) ^ 2 + 3 = - 2 * 4 + 3 = - 8 + 3 = - 5
for x = - 1
y = - 2 ( x ) ^ 2 + 3 = - 2 * ( - 1 ) ^ 2 + 3 = - 2 * 1 + 3 = - 2 + 3 = - 1
for x = 0
y = - 2 ( x ) ^ 2 + 3 = - 2 * 0 ^ 2 + 3 = - 2 * 0 + 3 = 0 + 3 = 3
for x = 1
y = - 2 ( x ) ^ 2 + 3 = - 2 * 1 ^ 2 + 3 = - 2 * 1 + 3 = - 2 + 3 = - 1
for x = 2
y = - 2 ( x ) ^ 2 + 3 = - 2 * 2 ^ 2 + 3 = - 2 * 4 + 3 = - 8 + 3 = - 5
For x = 3
y = - 2 ( x ) ^ 2 + 3 = - 2 * 3 ^ 2 + 3 = - 2 * 9 + 3 = - 18 + 3 = - 15
For graph
In google type :
functions graphs online
when you see list of results click on :
rechneronline.de/function-graphs
When page be open in blue rectangle type :
- 2 x ^ 2 + 3
set :
Range y-axis from - 15 to 5
and click option :
Draw
To graph the equation y = -2x^2 + 3, follow these steps:
1. Choose some values for x: Select a few x-values, such as -2, -1, 0, 1, and 2, or any other values you prefer.
2. Calculate the corresponding y-values: Substitute each x-value into the equation and evaluate the expression. For example, when x = -2, y = -2(-2)^2 + 3 = -2(4) + 3 = -8 + 3 = -5. Repeat this process for each x-value to obtain the corresponding y-values.
3. Plot the points: Once you have the x- and y-values, plot each point on a graph by associating the x-value with the horizontal axis and the y-value with the vertical axis. For example, if one point is (-2, -5), locate -2 on the x-axis and -5 on the y-axis, then mark the point where they intersect.
4. Connect the points: Once you have plotted all the points, connect them smoothly to draw a curve. This curve represents the graph of the equation.
In the case of y = -2x^2 + 3, the graph will be a downward-opening parabola. It will be symmetric with respect to the vertical line passing through the vertex of the parabola. The vertex of this parabola is (0, 3), as the equation is in the form y = a(x-h)^2 + k, where (h, k) represents the coordinates of the vertex.
By following these steps, you can plot the points and draw an accurate graph of the equation y = -2x^2 + 3.