😃mathematical Jeopardy😃

transformationsmake sure to graph😃

100

g(x)=x+4

vertical translation 4 units up

200

g(x)=-x

reflection on the x axis

300

f(x)=1/3x

vertical translation down

400

f(x)=4x²-3

use tech

vertical translation down 3

500

f(x)=-(x+3)²+1/4

use tech

translation 3 units left 

reflection over x axis

translation 1/4 up

Quadratic Functions

100

x=(x+3)(x-3)

Vertex = (0,-9)

200

y=(x+1)(x-3)

x=  (1, -4)

300

4(x-7)²

Vertex = (7,0)

400

f(x)=3(x+2)²+1

horizontal translation 2 units left

vertical stretch by a factor of 3 

vertical translation 1 unit up

vertex (-2,1)

500

f(x)=1/2(x-1)²

Vertical stretch by factor of 2

reflection on x axis 

vertical translation 5 units up

Polynomial Functions

100

(3x²+4x-1)+(-2x²-3x+2)

=3x²+4x-1-2x²-3x+2

=x²+x+1

200

(2x⁵+7x⁶-3x²+9x)+(5x⁵+8x³-6x²+2x-5)

7x⁶+7x⁵+8x³-9x²+11x-5

300

(5x⁶-2x⁴+9x³+2x-4)-(7x⁵-8x⁴+2x-11)

5x⁶-7x⁵+6x⁴+9x³+7

400

(8x⁵+6x³-2x²+10x)-(4+9x⁵-x³-11x²⁾

=-x⁵+7x³+11x²+10x-4

500

(3x²-9x+7)(x²-2x+1)

3x⁵-6x⁴-6x³+25x²-23x+7

Complete the Square & Systems of Equations

100

x²+10x

x²+10x+25

200

x²+20x

x²+20x+100

300

y²-12y

y²-12y+36

400

y=2x+8

y=5x-1

(3,14)

500

y=2/3x-4

y=1/4-3/2

(6,0)

Complex Numbers and Quadratic Equations

100

Square root of -36

i6

200

6 square root of -63

18i to the square root of 17

300

2 and the square root of -16

8i

400

x²-4x+3=0

1 or 3

500

3x²+6x+15=0

-30 or 18