Findthe

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TransformationsOf

Functions

EvenOdd orNeither

MoreParabolas

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50Hardtke Jeopardy Template 2011Click here for game DIRECTIONS

f(x) = 2(x – 1)2 – 3Click to check answer

(1, -3)Inside the function move in same directionOutside the function move in opp direction

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10 Find the Vertex

f(x) = 2x2 – 12x + 1Click to check answer

(3, -17)Use –b/2a to find the x-coord and then plug

that into f(x) to find the y-coord.Click to return to game board

20 Find the Vertex

y = 6 – 2x2

Click to check answer

(0, 6)y = -2x2 + 0x + 6 -b/2a = 0/-4 = 0Plug 0 in for x to get y-coord of 6

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30 Find the Vertex

x = -2(y - 4)2 + 5Click to check answer

(5, 4)Inside the function move in same direction for yOutside the function move in opp direction for x

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40 Find the vertex

x = -2y2 - 8y - 1Click to check answer

(7, -2)-b/2a to find the y-coord

Plug that value into y to find the x-coord.

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50 Find the Vertex

Compared to f(x) = | x|, g(x) = | x – 7| is shifted 7 units

in this direction. Click to check answer

RightShifts inside a function move in the

opposite directionClick to return to game board

10 Transformations

g(x) if it is f(x) = flipped vertically.

Click to check answer

Vert flip opposite outside the function

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20 Transformations

g(x) if it is f(x) = shifted down 2 units

and left 3 units. Click to check answer

Horiz shift inside the function in opp direction Vert shift outside the function in same direction

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30 Transformations

f(x) = ln x and g(x) = -3 ln x, then g(e) = ?

Click to check answer

– 3Every y-coordinate is flipped vertically and

stretched by a multiple of 3Click to return to game board

40 Transformations

Given that (2, 8) is on f(x) = x3, give a transformation of function f that

passes through (3, -24).

Click to check answer

f(x) = – 3(x – 1)3 May be other answers, but easy to shift right

1, flip vertically & stretch by multiple of 3

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50 Transformations

f(x) = – 3 | x |Click to check answer

EvenGraph has symmetry to y-axis

Notice that f(-4) = f(4).

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10 Even, Odd or Neither

Click to check answer

EVENParabola open down with vertex on the y-axis

so it has y-axis symmetry. E.G., notice that f(-2) = f(2) = -11

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20 Even, Odd or Neither

x = - y2Click to check answer

NeitherParabola open to the left. It has symmetry to the x-

axis, but it is not a function (fails vert line test) and it is neither even nor odd

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30 Even, Odd or Neither

f(x) = – 3x3 + xClick to check answer

ODDSymmetry to the origin. E.G. notice that (1, -

2) and (-1, 2) are on f(x). That is f(-x) produced – f(x).

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40 Even, Odd or Neither

f(x) = sin xClick to check answer

ODDSymmetry to origin. E.G. and are on the

graph. That is f(-x) produced – f(x).

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50 Even, Odd or Neither

If a parabola has its vertex at (1,3) and opens to the right and (2, 7) is on the parabol, what other point do you know is on the parabola?

Click to check answer

(2, -1)7 is 4 above the axis of y = 3, so we need to also go 4

units below the axisClick to return to game board

10 More Parabolas

Give the equation of a parabola with vertex on the y-axis that has the x-

axis as its axis of symmetry.Click to check answer

x = y2 or x = -y2

Sideways so opens to the left or right.Click to return to game board

20 More Parabolas

Give the equation of a parabola that opens left with vertex

(-3, 1) Click to check answer

x = -a(y – 1)2 - 3Any value of a as long as it is a negative number

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30 More Parabolas

Give the equation of a parabola that opens down with vertex

(-7, -5)Click to check answer

y = -a(x + 7)2 - 5Any value of a as long as it is negative.

Click to return to game board

40 More Parabolas

Find the vertex or graphing form of 4y + x = 2y2 - 1

Click to check answer

x = 2(y – 1)2 - 3Step 1: x = 2y2 – 4y - 1

Step 2: x = 2(y2 – 2y _____) – 1_______Step 3: x = 2(y2 – 2y +1) – 1 - 2

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50 More Parabolas

Jeopardy Directions• Any group member may select the first question and students rotate choosing the next

question in clockwise order regardless of points scored.

• As a question is exposed, EACH student in the group MUST write his solution on paper. (No verbal responses accepted.)

• The first student to finish sets down his pencil and announces 15 seconds for all others to finish working.

• After the 15 seconds has elapsed, click to check the answer.– IF the first student to finish has the correct answer, he earns the point value of the question and no

other students earn points.– IF that student has the wrong answer, he subtracts the point value from his score and EACH of the

other students with the correct answer earns/steals the point value of the question. (Those students do NOT lose points if incorrect, only the first student to “ring in” can lose points in this game version.)

• Each student should record a running total of his own score.

• Good sportsmanship and friendly assistance in explaining solutions is expected! Reviewing your math concepts is more important than winning.

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