mathleaks.com mathleaks.com Start chapters home Start History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
Expand menu menu_open Minimize
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
No results
{{ searchError }}
search
menu_open home
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Describing Quadratic Functions

Describing Quadratic Functions 1.17 - Solution

arrow_back Return to Describing Quadratic Functions
a

The type of a quadratic functions' vertex is determined by the coefficient in front of the -term. For the function it is positive. This means that the curve looks like a happy mouth, and, thus, it's an absolute minimum.

b

Again, look at the coefficient in front of Here it is , so negative, which means that the curve has the shape of an sad mouth, which means it has an absolute maximum.

c

In this function, there is no -term. This is because the function is linear. Linear functions does not have any vertex.

d

In there is an invisible in front of the -term. The term can then be written as Since is a positive number, the curve looks like a happy mouth, and then has a minimum point.