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PAGE: 483SET: ExercisesPROBLEM: 2
Please look in your text book for this problem Statement

The equation is minus a to the power of 2 minus 10 a equal 25.

Rewrite the equation a to the power of 2 plus 10 a plus 25 equal 0

The above equation compare with A a to the power of 2 plus B a plus C equal 0, Then A equal 1 comma B equal 10 comma C equal 25.

Graph the related function f left parenthesis a right parenthesis equal a to the power of 2 plus 10 a plus 25

The equation of axis of symmetry is a equal minus fraction numerator B over denominator 2 A end fraction

a equal minus fraction numerator 10 over denominator 2 left parenthesis 1 right parenthesis end fraction                                   (Substitute B = 10 and A = 1)

a equal minus 5                                          (Simplify)

To substitute  a equal minus 5 in the above function f left parenthesis a right parenthesis equal a to the power of 2 plus 10 a plus 25.

                    (Evalute power: open parentheses minus 5 close parentheses to the power of 2 equal 25)

                             (Multiply: 10 cross times minus 5 equal 50)

                                      (Add: 25 plus 25 equal 50)

f left parenthesis a right parenthesis equal 0                                          (Subtract: 50 minus 50 equal 0) 

The coordinates of the vertex are open parentheses minus 5 comma 0 close parentheses

a

f (a)

       5

     0  

4

1

3

4

2

9

      1     16

Graph:

Above the graph the x-intercept is minus 5.



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