CC Algebra 2H Transforming the parent function

Transcription

1 CC Algebra H Transforming the Name: March. Open up the geometer s sketchpad document on Mr. March s website (It s under CC Algebra Unit Algebra Review). Make sure ou maimize both windows once ou open the file.. At the bottom left corner of the screen ou should see page numbers. Make sure ou start at page.. On the first pages, the f is a dotted curve, and the function that is thicker is represented b q a f( + h) + k =.. a represents a number multipling the function, h represents a constant that is added inside the parentheses, and k represents a constant that is added outside the parentheses. Fill out the table below b changing the value of a, h, and k. h = k = a = h =. h k =. k a =. To adjust the values of a, h, and k ou can move the sliders or click the buttons. a = - Parent function What transformation occurs? What transformation occurs? What transformation occurs? f =

2 f = f = f =. Below is the graph of a function g. Describe the transformation and sketch ( +) g.

3 Practice Graph each of the following functions. Remember to include labels.. f=. f= g= (+ ) g= (+ ) On pages, the function graphed as a dotted line is the transformed c f( + a) b q = + as was on the first pages. The function graphed as a thick solid line is the transformed function with onl the values negated q = a f( + h) + k. Using words, describe to the best of our abilit what happens to f( ) with respect to the general function f. Below is the graph of a general function g. On the blank grid provided draw g.

4 What are some s where f = f? Are there an s where f = f? On pages, the function graphed as a dotted line is the as was on the first pages. The function graphed as a thick solid line is the transformed function with a scalar multiple a in front of the function and b inside the parentheses of the function. q = ( b). Pa attention to how changing these values changes the graph. Also, pa close attention to the point P plotted at (,) on the and how the coordinates are fected b the changes made to a and b. Then transfer this information to an point plotted on the. Using words, describe to the best of our abilit what happens to and ( b) general function f. Tring using the term scale factor when describing the transformations. f with respect to the Below is the graph of a general function g. On the blank grid provided draw g( ).

5 Advanced Topic Practice:. On pages, the dotted line is the that has been transformed b the changes in a,b, and c that was on the first pages; a f k q = + +. The function graphed as a thick solid line is the absolute value of the transformed function q a f( + h) + k =. Using words, describe to the best of our abilit what happens to f with respect to the general function f. Below is the graph of a general function g. On the blank grid provided draw g.

6 CC Algebra Transforming the Name: March ) In transformational geometr, to reflect in the -ais one must: a. Negate the -coordinate b. Negate the -coordinate c. Negate both coordinates d. Flip both coordinates ) In transformational geometr, to reflect in the line = one must: a. Negate the -coordinate b. Negate the -coordinate c. Negate both coordinates d. Flip both coordinates ) In transformational geometr, to reflect in the -ais one must: a. Negate the -coordinate b. Negate the -coordinate c. Negate both coordinates d. Flip both coordinates ) Given a point (a,b) on the function f(). What are the coordinates of a point on: a. f( ) b. f c. f ( +) d. f( ) f f. f e. +

7 ) Without a calculator, graph the of f and label it as g, and then graph the function f = ) Without a calculator, graph the of f and label it as g, and then graph the function f = + +