Example of a quadratic graph draw graph?

Here is an example of a quadratic graph:

The equation of the quadratic function is y = x^2 - 4x + 4.

To draw the graph, we can plot a few points and then connect them to form a smooth curve.

When x = 0, y = 4
When x = 1, y = 1
When x = 2, y = 0
When x = 3, y = 1
When x = 4, y = 4

Plotting these points and connecting them, we get a graph that looks like a U-shaped curve opening upwards. The vertex of the parabola is at (2,0) and the graph intersects the y-axis at (0,4).

I hope this helps! Let me know if you need any further assistance.

Example of a quadratic graph:

Equation: y = x^2 - 2x + 1

Steps to draw the graph:

1. Find the vertex: The vertex is the point where the parabola changes direction. To find the vertex, use the formula: x = -b / 2a. In this case, a = 1 and b = -2, so x = -(-2) / 2(1) = 1.
2. Find the y-coordinate of the vertex: Plug the x-coordinate of the vertex back into the equation to find the y-coordinate. y = 1^2 - 2(1) + 1 = 0. So the vertex is (1, 0).
3. Plot the vertex: Mark the vertex on the graph.
4. Find the y-intercept: The y-intercept is the point where the parabola crosses the y-axis. To find the y-intercept, set x = 0 in the equation. y = 0^2 - 2(0) + 1 = 1. So the y-intercept is (0, 1).
5. Plot the y-intercept: Mark the y-intercept on the graph.
6. Connect the points: Draw a smooth curve through the vertex and the y-intercept. This curve represents the parabola.

Resulting graph:

```
/|
/ |
/ |
/___|___
/ \
/ \
0___________1
```