This week the new light bulb i had was about the new chapter “ Quadratic Function “

This chapter is about graphs and equations and it has many different ways to use them.

The part that we learned this week in class was about Properties of Quadratic Functions.
To start, let’s look at the parent function,
f(x) =
to see the basic shape of a parabola.

Then we looked at a few other functions, such as
f(x)= , f(x)= , f(x)= +1, f(x)= -3, f(x)= +x
and saw how numbers cause the graph to shift or change its shape.

For each function, we found the points using a table of values ​​and then drew the graph.
By drawing the graph, we learned that the vertex is the point at which the graph changes direction.

We also learned that:
• If a is positive, the parabola opens up and the vertex is the lowest point.
• If a is negative, the parabola opens down and the vertex is the highest point.
• The line of symmetry always passes through the middle of a parabola and through the vertex.

Finally, I learned that we can either use the formula
x =
to find the vertex coordinates, or we can figure it out by looking at the graph.

This lesson helped me better understand how each number in the equation affects the shape of the graph  especially how the vertex moves when we add +1 or −3 to