Transformation of a linear function worksheets this ensemble of transformation worksheets is targeted to help high school learners gain an understanding of the transformation of a linear function and its graph. The graph of the parent function is translated two units left and five units up.
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1 5 exit quiz parent functions and transformations.
Transforming linear functions worksheet answers algebra 2. Free algebra 2 worksheets created with infinite algebra 2. Section 1 2 transformations of linear and absolute value functions 13 writing refl ections of functions let f x x 3 1. Quadratic functions and inequalities properties of parabolas vertex form graphing quadratic inequalities factoring.
This fascinating concept allows us to graph many other types of functions like square cube root exponential and logarithmic functions. Math algebra 2 transformations of functions putting it all together. A refl ection in the x axis changes the sign of each output value.
Use the description to write the square root function g. Write a function g whose graph is a refl ection in the x axis of the graph of f. Function parent function transformed function g x linear.
Write a function h whose graph is a refl ection in the y axis of the graph of f. Matrix equations easy hard geometric transformations with matrices. 2 2 4 6 8 write the vertex form equation of a parabola which has the following transformation from the parent graph of y x2.
Students learned about a few parent functions in algebra 2 last year and did some analysis. In this unit we extend this idea to include transformations of any function whatsoever. Luywsjz9452cr ke17b9a7gdclb8 634unyctiekurq backvo4r1aggj9c w1vygr0ga9 caajaxjy65t hac57cqwbs7 d5g2vg4ghs qvxikinwhnbz8 kp0bapt68agiy3 vw7jppzi7bey8 kgvfxcbu9b9.
The graph of the parent function is vertically stretched by a factor of 2 and is translated left 8 units and down 3 units. Find the indicated transformed function g x from its parent function f x. Free algebra 2 worksheets pdfs with answer keys each includes visual aides model problems exploratory activities practice problems and an online component.
In algebra 1 students reasoned about graphs of absolute value and quadratic functions by thinking of them as transformations of the parent functions x and x. If the line becomes steeper the function has been stretched vertically or compressed horizontally. Transforming linear functions stretch and compression stretches and compressions change the slope of a linear function.
Graphs of square and cube root functions. Putting it all together. This is the currently selected item.
Linear relations and functions review of linear equations. If the line becomes flatter the function has been stretched horizontally or compressed vertically. Printable in convenient pdf format.
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