Transcript Lesson 7.1B

Radical
Radical Functions
Functions
• How do we graph radical functions and
inequalities?
• How do we transform radical functions
by changing parameters?
HoltMcDougal
Algebra 2Algebra 2
Holt
Radical Functions
In addition to graphing radical functions, you can
also graph radical inequalities. Use the same
procedure you used for graphing linear and quadratic
inequalities.
Holt McDougal Algebra 2
Radical Functions
Graphing Radical Inequalities
Graph the radical inequality.
1. y  2 x  3
3
Vertical shift:
3 units down
Greater than:
shaded above curve
Holt McDougal Algebra 2
Dotted curve
2 times as fast
Radical Functions
Graphing Radical Inequalities
Graph the radical inequality.
2. y   x  1  2
3
Horizontal shift:
1 unit to the left
Vertical shift:
2 units up
Less than:
shaded below curve
Holt McDougal Algebra 2
Solid curve
opposite and normal
Radical Functions
Graphing Radical Inequalities
Graph the radical inequality.
3. y  2 x  1  3
Horizontal shift:
1 unit to the right
Vertical shift:
3 units down
Less than:
shaded below curve
Holt McDougal Algebra 2
Dotted curve
2 times as fast
Radical Functions
Graphing Radical Inequalities
Graph the radical inequality.
4. y  2  x  2
Vertical shift:
2 units up
Holt McDougal Algebra 2
Solid curve
Left
2 times as fast
Radical Functions
Graphing Radical Inequalities
Graph the radical inequality.
5. y  2 x  2  1
3
Horizontal shift:
2 units to the right
Vertical shift:
1 unit up
Less than:
shaded below curve
Holt McDougal Algebra 2
Solid curve
opposite
2 times as fast
Radical Functions
Graphing Radical Inequalities
Graph the radical inequality.
6 . y  2 x  2  1
Horizontal shift:
2 units to the left
Vertical shift:
1 unit up
Less than:
shaded below curve
Holt McDougal Algebra 2
Dotted curve
opposite
2 times as fast
Radical Functions
Lesson 7.1 Practice B
Holt McDougal Algebra 2