Warm Up
I can find x- and y-intercepts given anequation
1. Rewrite in vertex form:
2. Identify the transformation:
a) b) 3. Without graphing, find the x- and y-
intercepts:
Warm Up
Rewrite in vertex form: 𝒚=(𝒙 −𝟐)𝟐+𝟏𝟔
Warm Up
Identify the transformation:
a) b)
Warm UpWithout graphing, find the x- and y-intercepts:
(𝟎 ,𝟔 ) (𝟒 ,𝟎 )
Homework Questions
Finding x- and y-intercepts• By definition, the x-intercept occurs when and
the y-intercept occurs when • Given a function, – to find the x-intercept(s) plug in 0 for y and solve
for x– to find the y-intercept(s) plug in 0 for x and solve
for y
Find the x- and y-intercepts of Finding x- and y-intercepts
x-intercept(s) y-intercept(s)
Find the x- and y-intercepts of Finding x- and y-intercepts
x-intercept(s) y-intercept(s)
Find the x- and y-intercepts of Finding x- and y-intercepts
x-intercept(s) y-intercept(s)
Finding x- and y-intercepts• Why do we care?• Using what we know about transformations,
the x-intercept and the y-intercept we can sketch a careful graph of any equation without using a graphing calculator
• Go back and graph the three functions that we have worked on today
𝑦=2(𝑥−3)2−32
x-intercept(s) and
y-intercept(s)
Vertex
𝑦=3√𝑥−1+2x-intercept(s)
y-intercept(s)
Inflection Point
𝑥=−13(𝑦+6)2+3
x-intercept(s)
y-intercept(s) and
Vertex
Work on Review Packet – Come prepared with
questions next class
Homework