Find expressions for the quadratic functions whose graphs are shown:

http://img204.imageshack.us/img204/8...aticqv3.th.png

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- January 31st 2009, 06:40 PMquestion111Find expressions for the quadratic functions
Find expressions for the quadratic functions whose graphs are shown:

http://img204.imageshack.us/img204/8...aticqv3.th.png - January 31st 2009, 06:44 PMJhevon
there are several ways to approach this. here's one

note that the vertex is on the x-axis, that is, we have a double root for the vertex

thus, our quadratic is of the form

we are given that the point (4,2) is on the graph, we can use this to find , by plugging in and into the form above

what is your answer? - January 31st 2009, 06:50 PMShyam
- January 31st 2009, 06:51 PMJhevon
- February 1st 2009, 03:38 PMquestion111
So a would be 2, and when I plug that in, I am finally getting a graph like it's shown in the book.

Thank you very much. - February 1st 2009, 04:11 PMJhevon
- January 24th 2010, 11:48 PMlovegreenand so what is your expression
(Thinking)

- January 24th 2010, 11:54 PMJhevon
- January 25th 2010, 01:32 AMlovegreenThanks!
I see it is y = 2(x squared) -12x + 18

- January 25th 2010, 04:43 AMHallsofIvy