1. 8.2
Graphing f(x)=ax2 + c
Students will be able to graph quadratic functions of the form f(x)=ax2 + c.
So we are now adding some complexity.
Remember, it is important to make sure you get each section as we move forward

2. Students will be able to graph quadratic functions of the form f(x)=ax2 + c.
Using DESMOS we will graph f(x)=x2 + c
In the equation area type y=x2+c (Notice there is no a right now)
Click the add slider for c
Change the slider bounders to -5 to 5 with a step of 0.5
Now move the slider to see what happens to the graph

3. Students will be able to graph quadratic functions of the form f(x)=ax2 + c.
Questions to answer.
What does c do to the graph?
shifts the graph up and down
What values of c makes the graph shift up? Shift down?
when c is positive (c > 0) shifts up
when c is negative (c < 0) shifts down

4. Students will be able to graph quadratic functions of the form f(x)=ax2 + c.
Now change the equation to y=ax2+c
Click the add slider for a and c
Change both the slider bounders to -5 to 5 with a step of 0.5
Now move the sliders to see what happens to the graph

5. Students will be able to graph quadratic functions of the form f(x)=ax2 + c.
Questions to answer.
Do a and c act differently if they are both changing at the same time? No
What does a do?
a changes the width and direction of the parabola
What does c do?
c shifts the whole parabola up or down.

6. Students will be able to graph quadratic functions of the form f(x)=ax2 + c.
Now let us do our own graphing.
Graph
on the same graph add
On a new graph
on the same graph add
On a new graph
on the same graph add
On a new graph
on the same graph add