Math

CalculusPrecalculus: Mathematics for Calculus - 6th EditionThe rough graph of the parabola of the function f ( x ) = ( x − m ) ( x − n ) , x -intercepts of the graph of f , x -coordinate of the vertex of parabola in terms of m and n . Confirm the answers by expanding and with the help of formulas.Start your trial now! First week only $4.99!*arrow_forward*

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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 3.1, Problem 79E

To determine

**To find: **The rough graph of the parabola of the function

Expert Solution

The graph of the parabola

**Given information:**

The function is

**Calculation:**

Take a particular case when

Figure(1)

By investigation of the function

Function | Axis of symmetry | ||||

So, from the observations it can be concluded that the

From the table, it is visible that the

Now check the results by expanding.

Factorize the function.

Further simplify,

So, the

Now substitute

Further simplify,

So, the

Therefore, the