This week in precalc we learned how to analyze quadratic functions. We also learned how to use desmos to graph and see how parent functions transform. A quadratic function is written y = a + bx + c .

*Note the difference between equations and functions.*

*Equations*: you can solve and find roots.

*Functions*: you can graph, and find Y-intercepts and X-intercepts.

The **parabola** is the curve where any point is at an equal distance from. The **vertex** is the highest/lowest point, it may be a minimum or maximum point. The **line of symmetry** is the line that divides the parabola into mirror images.

When analyzing quadratic functions in a graph, we always need to look for the y-intercept, the x-intercept, the domain and range, parabola, vertex, line of symmetry, if it’s opening down or up, and if it’s congruent to the parent function.

*How do we know how parent functions transform:*

here’s the video and the link to the website that helped me understand how parent functions transform:

https://youtu.be/dJLQ8UOIuZ4 https://www.purplemath.com/modules/fcntrans.htm