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The objectives, essential question, and key concepts of a lesson on square root functions. Students will learn to identify the domain and range, locate intercepts, determine extremas, and perform transformations of square root functions. The document also includes information on the parent function, intercepts, extrema, and transformations through translations, reflections, and compressions or stretches.
What you will learn
Typology: Study notes
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Objectives
Essential Question
Domain and Range of the Parent
Function
Inequality Set Notation:
Interval Notation:
Intercepts
Where the graph crosses the x and y axis.
x-intercept: x=
Y-intercept: y=
Transformations
y= a√x-h + k
a: stretch or compression.
h: strictly for shifting the
graph left or right.
k: strictly for shifting the
graph up and down.
*parent function
Transformations:
Translations
Transformations:
Compressions and Stretches
Worktime
Identify the Domain & Range of these, then state the transformation:
Work Time Answers (ctnd.)
Identify the Domain & Range of these, then state the transformation:
Domain: x ≥ 2 Domain: x ≥ 1 Range: y ≥ −1 Range: y ≤ 4
1 unit right 2 units left 4 units up Reflection across the x-axis Reflection across the x-axis Compression of ¾ Stretch of 2