Complete and submit the assignment below then you can procee

Complete and submit the assignment below; then you can proceed onto the next lesson. The parabola in the figure below has an equation of the form y = ax2 + bx - 4. Find the equation of the parabola using two different methods, by hand and with technology (graphing utility or computer software). Write a paragraph describing the methods you used and compare the results of the two methods.

(2. 2) (4,0) -4 -22 6 8 -4 (0-4) -6 (6,-10)

Solution

By hand :

Notice the quadratic has zeros at x = 1 nad x = 4

So, it is of the form

y = a(x - 1)(x - 4)

Now, using the point (0,-4), we can find constant a :

-4 = a(0-1)(0-4)
-4 = 4a
a = -1

So, we have :

y = -1(x-1)(x-4)

y = -1(x^2 - 5x + 4)

So, we have :
y = -x^2 + 5x - 4 -----> ANSWER

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Graphing calc :

We\'d get the same thing obviously!