### Home > CCA > Chapter 8 > Lesson 8.2.4 > Problem 8-92

QUALITY CONTROL, Part Two

Lots O’Dough, a wealthy customer, would like to order a variety of parabolas. However, he is feeling pressed for time and said that he will pay you

*lots*of extra money if you complete his order for him. Of course you agreed! He sent you sketches of each parabola that he would like to receive. Determine a possible equation for each parabola so that you can pass this information on to the Manufacturing Department.*8-92 HW eTool*(Desmos). Homework Help ✎

Look at the points on this graph. What are these called?

These points are the *x*-intercepts of the graph.

When −4 or 2 is substituted for *x*, *y* is equal to 0.

What could be the equation for this graph?

*y* = (*x* + 4)(*x* − 2)

Use the same steps found in part (a), but note that there is only one *x*-intercept.

What does this say about the equation?

Sometimes, the roots can be the same number.

*y* = (*x* − 3)^{2} or *y* = *x*^{2} − 6*x* + 9

Use the eTool below to help write an equation for each parabola.

Click on the link at right for the full eTool version: CCA 8-92 HW eTool