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

Transformations of Quadratic Functions

Transformations of Quadratic Functions 1.4 - Solution

arrow_back Return to Transformations of Quadratic Functions
We want to match the given function with its graph. We will begin by noticing that the function is a transformation of the form y=a(xh)2+k,y=a(x-{\color{#0000FF}{h}})^2+{\color{#009600}{k}}, where h{\color{#0000FF}{h}} represents a horizontal translation and k{\color{#009600}{k}} represents a vertical translation. y=(x1)2\begin{gathered} y=(x-{\color{#0000FF}{1}})^2 \end{gathered} In our case, we have h=1.{\color{#0000FF}{h}}={\color{#0000FF}{1}}. This means that the graph of y=(x1)2y=(x-1)^2 is obtained by translating the graph of y=x2y=x^2 by 1{\color{#0000FF}{1}} unit to the right.
Parent Function\text{Parent Function}

Translation\text{Translation}

Thus, we conclude that the correct answer is option B.