- #1

bugatti79

- 794

- 1

## Homework Statement

Folks,

I wish to construct a quadratic expression from a graph which has the following 2 coordinates.

##(0,0)## and the vertex ##(\alpha h_e,1)## where ##0<\alpha<1##

## Homework Equations

Using the following ##y(x)=a(x-h)^2+k##

## The Attempt at a Solution

##(h,k)=(\alpha h_e,1)##

From the first coordinate pair we have ##\displaystyle 0=a(0-\alpha h_e )^2+1 \implies a=-\frac{1}{\alpha^2 h_e^2}##

but the coefficient of x^2 given in the book doesn't seem to tally up. Its given in the form

##\displaystyle \frac{x^2}{((-1 + a) a h^2)}-\frac{x}{((-1 + a) a h)} ##

what have I done wrong...?

thanks