TRANSFORMATIONS “Those completing this game with a certain amount of points will have a disappearing homework, classwork, or quiz assignment!!!!!! Alacazam!!!!

Assignment Passes can be earned by accumulating the following amounts of points, ON THE FIRST TRY, of each question: points Free Classwork Pass points Free Homework Pass points Free Quiz Pass Total points available - 62

ON WITH THE SHOW

Will the contestants come and sign in please?

Game Rules Each person in the group must rotate participating according to their assigned number. All students must participate. Full value points can only be acquired in the correct answer is given on the first try. Members may consult their group members prior to answering questions. For some questions, answers must be given within a 10 sec. time period (the slides with clocks at the bottom), otherwise the instructor will provide 5 secs. for all other answers. In slides with highlighted words, click the button with the corresponding color to get the definition. Use the Excel,, button in each appropriate slide to record points for your group. CONTINUED

Game Rules continued When describing transformations, the number of units of change must be given. Three (3) extra points will be given each group for each member having a vocabulary list with correct definitions. At the end of the game a group member each selected by each group will tally the points for their group.

Transformations, what are they as they relate to math? A disappearing act A transformer A change in shape, size, or position Question value: 1 point

SORRY CHARLIE!!!!! TRY AGAIN.

“You’re the Bomb!!!!!!!!

What type of transformations are there? Reflections, translations, dilations Reflections, translations, dilations Dissolving of the form A change from one shape to another A change from one shape to another Question value: 1 point

Transformations happen when a Parent Function ie., y = x 2, in the form y = a ( x  h ) 2  k has changes occurring in a, h, and/or k. Watch closely as you proceed throughout the game!!!

What type of graph does the Parent Function y = x 2 generate? A diagonal curve A parabolic curve A V-shaped curve A V-shaped curve Question value: 1 point

Choose the shape of the parabolic curve for the parent function y = x 2 below: Absolute valueLinearParabola Question value: 1 point

Observe closely!!!!!!! Y = x 2 Y = -x 2

How would you title the transformation shown in the previous slide? Reflection Translation Dilation Question value: 1 point

F Y I!!!! y = ax 2 y =.5x 2 Y =x 2 y = ax 2 y = 4x 2

Based on the graphs in the previous slide, when the value of “a” is greater than 0 and less than 1, 0  a  1, the graph: Shrinks Widens When the “a” value is greater than 1, a  1, the graph: Shrinks Widens Question value: 2 points

When a Quadratic Function either shrinks or widens this type of transformation is called: Translation Reflection Dilation

Check this out!!!!! y = (x+h) 2 y = (x+9) 2 y = (x-h) 2 y = (x-8) 2 y = x 2

When the “h” value of a parabolic function is negative the graph shifts: Right Left When the “h” value of a parabolic function is positive the graph shifts: Right Left Question value: 2 points

REMINDER!!!! The “h” value translates the graph left or right, depending on whether it is positive or negative. Another type of translation is a linear slide, caused by  k in the parabolic function.

Peep this!!!!! y= x 2 +k y = x 2 +6 Y = x 2 y = x 2 -k y = x 2 -6

When the “k” value of a function is positive the graph shifts: Up Down When the “k” value of a function is negative the graph shifts: Up Down Question value: 2 points

To explore the algebraic and graphical behavior of the quadratic function the form y = a ( x-h ) 2 + k can be used. Describe the behavior of the following functions!

y = - (x-1) Reflection Shift right, 1 unit Shift up, 1 unit Question value: 3 points

y = 3 ( x+2 ) Shrinks, 3 units Shifts left, 2 units Shifts down, 4 units Question value: 3 points

y = -.25 ( x - 3 )2 + 5 Reflection Widens, ¼ (.25) units Shifts right, 3 units Shifts up, 5 units Question value: 3 points

y = 3x Shrinks, 3 units Shifts up, 1 unit Question value: 3 points

“You’re the Bomb!!!!!!!!