In my post Tutorial 4: Graphs and Sliders, we learned how to use the slider in investigating graphs of the form **y = m x + b.** In this tutorial, we are going to use sliders to investigate the graph of the from

**, where**

*y*= a(*x*– h)^{2}+ k**a, h**and

**k**can be any real number. We will first input the values of

**a**,

**h**and

**k**in the input box before creating the sliders.

To do this, first we are going to assign temporary values for **a**, **h** and** k** in the input box, then create a slider for each of them. After creating a slider, we enter the equation ** y = a(x – h)^{2}+ k **in the input box to graph our function. You may want to look at our expected output here.

**Instructions**

- Open GeoGebra.
- Enter the following equations in the input box:
**a = 1**,**h = 1**and**h = 1**in the*Input box*and press the**ENTER**key on your keyboard**after typing each****equation**. Observe that the equations appear in the*Free Objects*section of the*Algebra window*.

- Right click each equation and click Show Object. Notice that the sliders appear in your drawing box.

- Type the equation
=*y***a*(**, the press the*x*– h)^2 + k**ENTER**key. If you have typed the equation correctly, a graph should appear in your drawing pad.

**Q1:** Click the *Move *button and move the small circle on your slider. What do you observe?

** Q2:** What are the effects of the parameters **a**,** h** and** k** to the graph of the function *y* = a*(*x* – h)^2 + k?