All Things Quadratic
Functions
Solve by any method
Exponential
Random
100

What are the zeroes? y=(x+2)(x-1)

x=-2 and x=1

100

Function f is represented by f(x)= 5(x+11)


Find f(-2).

45

100

v2+2v-8=0

2 and -4

100

For the exponential function y=15(3)x, what is the factor, and does the function represent growth or decay?

3

Growth

100

Which function value is greater: A(4) or B(4)?

City B

200

y=2x2-4x+5 What does a, b, c equal?

a=2

b=-4

c=5

200

Describe the domain of the function:

The domain of this function is all positive time values from 0 to 170 seconds.

200

4(x+1)2=16

1 and -3

200

Larry invested $27,000 in a savings account that pays an annual interest rate of 2%, compounded yearly. How much is in Larry’s account after 5 years?

$29,810.18

200

A bacteria population starts at 1000 and triples every day. Create a table showing the population at:

0, 1, 2, 5 and d days

day           population           

0              1000

1              3000

2              9000

5              243,000

d              1000 (3)d

300

What is the y-intercept? y=x2+2

(0,2)

300

n(x)=6x3+2x2

What is n(-2)?

-40

300

x2+2x-24=0

-6 and 4

300

Does this graph represent an exponential growth or exponential decay situtation?

Exponential Growth

300

Find the missing number that makes the expression a perfect square. NEXT, write the expression in factored form.

x2  -_____+16

x2  - 8x +16

(x-4)(x-4)

400

x2-6x+8=0 Solve by factoring.

(x-4)(x-2)=0

(4,0)(2,0)

400

Describe the range of the function:

The range is all positive distances from 0 to 60 meters.

400

x2-11x+19=-5

3 and 8

400

Is the function exponential growth or decay?

Write the equation to represent the graph.

Decay

y = 2400 (0.5)x

400

Determine the x-intercepts, vertex and y-intercept for the following equation:

y=(x-5)(x-3)


x int = (3,0) (5,0)

vertex =(4,-1)

y int = (0,15)

500

What is the vertex? y=-(x+5)2-6

(-5,-6) 

500

 Here are the equations that define three functions. 

f(x)=4x-5        g(x)=4(x-5)            h(x)=4-5x

Which function value is largest: f(100), g(100), or h(100)?

f(x)=4x-5   

395

500

4x2+8x+3 = 0

-1.5 and -0.5

500

Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5% per year. What will the annual sales be in 6 years?  (show the equation and answer)

530,000(1.05)6 =$710,250.69

500

  1. What is the bee population when it is first measured?

  1. What factor is the bee population going up by? 

  1. What is an equation that models the bee population?

1. 500

2. 2 (doubling)

3. y = 500 (2)x

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