Download - Warm Up I can find x- and y-intercepts given an equation.

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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