Use the zeros and the labeled point to write the quadratic function
represented by the graph.
у
Х
-5
5
(3-6)
- 10

Answer:

y = 2x2 - 10x + 12

Step-by-step explanation:

The quadratic function represented by the graph is y= 2x² - 10x + 12.

The task's requirements dictate that the quadratic function represented by the graph be identified.

As the roots of the quadratic function are p and q, the quadratic function can be described as y = a (x - p) (x - q), where a is a constant.

As a result, since the roots are 2 and 3, we obtain;

y = a (x - 2) (x -3) (x -3)

So, we must substitute the values defined by the provided point, (1, 4), as shown below in order to find the value of the constant, a.

4 = a (1 -2) (1 -3)

4 = a(-1) (-2)

4 = 2a

a = 2.

So, the required equation is y = 2 (x - 2) (x - 3).

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