Question

explain how i would determine wheather a quadratic will have a vertex that is a maximum minimum? how would i be able to tell from the graph its self

Answer 1

ok the maximum i know that part but im trying to figure out the equation part

Answer 2

how i woulkd find it by looking at the equation

Answer 3

oh ok so wait i think im wrong than

Answer 4

so that means that if the quadratic has a high power it will have a high maximum ??

Answer 5

ugh

Answer 6

In general, for a quadratic equation of form:
\[ax^2+bx+c\]
\(a\) is referred to as the "leading co-efficient";

If \(a\) is positive, then the parabola will open upward and have a minimum
If \(a\) is negative, then the parabola will open down and will have a maximum. Always haha

Answer 7

that is so easy Thankyou

Answer 8

Basically, the reason for this lies in calculus but for the purpose of studying quadratics, knowing that:
Positive \(a\) = minimum
Negative \(a\) = maximum
Is sufficient haha no problem