requestbook

Step-by-step Answer
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.



TESTIMONIALS

"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!"

June Barnett

"Your site is amazing! It helped me get through Algebra."

Charles

"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful."

Dan Pease

QUESTIONS? LET US HELP.
Simply chose a support option

My status

JOIN US ON:     
mathskey.com is not affiliated with any Publisher, Book cover, Title, Author names appear for reference only