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Algebra 2 Honors Semester 1 Exam Detailed Questions And Expert Answers 2024
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Algebra 2 Honors Semester 1 Exam Detailed Questions And Expert Answers 2024
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Algebra 2 Honors Semester 1 Exam DetailedQuestions And Expert Answers 2024
parent function - ANS the most basic function in a family
i.e.
Constant: f(x)= 1
Linear: f(x)= x
Absolute Value: f(x)= |x|
Quadratic: f(x)= x^2
other functions in the same family are transformations of this function
*functions that belong to the same family share key characteristics
transformation - ANS a change in the size, shape, position, or orientation of a
graph
translation - ANS a transformation that shifts a graph horizontally and/or vertically
but does not change its size, shape, or orientation
*should be the last transformation done*
, reflection - ANS a transformation that flips a graph over a line called the line of
reflection
Reflect over y-axis: y= f(-x)
Reflect over x-axis: y= -f(x)
a reflected point is the same distance from the line of reflection as the original
point on the opposite side of the line*
vertical stretch - ANS y= a*f(x)
When a>1
*the x-int NEVER changes*
vertical shrink - ANS y= a*f(x)
When 0<a<1
horizontal stretch - ANS y=f(ax)
When 0<a<1
horizontal shrink - ANS y=f(ax)
When a>1
Natural Numbers - ANS (counting numbers)
[1, 2, 3, 4, 5, ...] Infinite
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