Fun Friday Jeopardy

Exponential Growth/Decay

100

Is the following equation growth or decay?

y=5(3)^x

Growth

200

Is the following function growth or decay?

y=200(1/2)^x

Decay

300

What is the growth rate for the following function?

y=500(1.75)^x

0.75 or 75%

400

What is the decay rate for the following function?

y=1000(0.87)^x

13% or 0.13

500

What transformations are present in the following function when compared to the parent function?

g(x)=-3(4)^x-5+6

Reflection over the x-axis

Horizontal Translation right 5 

Vertical Translation up 6

Vertical Stretch by a factor of 3

Multiplying Polynomials

100

Simplify the following expression.

3x(x-5)

3x²-15x

200

Simplify the following expression.

(x+4)(x-3)

x²+x-12

300

Simplify the following expression.

(2x+4)²

4x²+16x+16

400

Simplify the following expression.

(3x-1)(x²-5x-6)

3x³-16x²-13x+6

500

(x-1)³

x³-3x²+3x-1

Adding Polynomials

100

Simplify the expression given below.

(2x²-6x+9)+(x²+8x-5)

3x²+2x+4

200

Simplify the expression given below.

(5x²+8x+10)-(3x²-9x-12)

2x²+17x+22

300

(-3x²+5x-9)-(-3x²-5x+9)

10x-18

400

(4x⁴-3x³+2x)+(8x²-8)

4x⁴-3x³+8x²+2x-8

500

Simplify the expression below.

(2x+1)²+5x²-7x+9

9x²-3x+10

Solving Quadratics by Graphing

100

Find the x-intercepts of the equation below.

y=x²-9x-22

x=11 and x=-2

200

Find the zeros of the function given below.

h(x)=3x²+14x-5

x=1/3 and x=-5

300

Find the roots of the function given below.

g(x)=x²-7x

x=0 and x=7

400

Find the solutions for the equation given below.

3x²+7x+9=0

No Solution

500

Solve the equation given below.

-3x²+6x=5x-8

x=-1.475 and x=1.808

Finding the Vertex or the Axis of Symmetry

100

Find the vertex for the following quadratic.

y=2x²-8x+2

(2,-6)

200

Find the axis of symmetry for the quadratic function given below.

g(x)=x²+10x-6

x=-5

300

Find the maximum of the function given below.

y=-3x²+x-2

The max is -1.75.

400

Where does the minimum value occur for the function given below.

h(x)=x²-8x-20

At x=4

500

A rock is dropped from a building that is 300 feet tall, the equation y=-16x²+300 gives the height of the rock as it falls, where y is the height of the rock and x is the time.  When does the rock hit the ground?

The rock hits the ground at 4.33 seconds.