[quote=samantha_malone;60972]heyy here is a question i have, i was wondering if anyone could help me:

The function f is defined by f:x --> -0.5x^2 + 2x + 2.5

a. Let N be the normal to the curve at the point wehre the graph intercpets the y-axis. Show that the equation of N may be written as y = -0.5x + 2.5

Let g:x --> -0.5x + 2.5

[/tex]

The curve intercepts the y-axis when , and so . The slope of the curve is:

so at the intercept the slope is , and hence the slope of the normal is . So the normal has slope and passess through , and so its equation is:

as required.

RonL