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Find the Vertex of the following polynomial by converting to vertex form y = -3x 2 + 12x + 17

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Find the Vertex of the following polynomial by converting to vertex form

y = -3x2 + 12x + 17

(2, 29)

Find the Vertex of the following polynomial

y = 3.5x2 - 42x + 141

(6, 15)

A ball is thrown up and off the roof of a 75 m tall building with an initial velocity of 14.7 m/s.

a. Let t represent the time in seconds and h represent the height of the ball in meters. Write an equation that models the height of the ball.

b. At what time does the ball reach maximum height? What is the ball’s maximum height?

a.y = -4.9x2 + 14.7x + 75

b.1.5 second, 86.025 meters

A ball is thrown up and off the roof of a 75 m tall building with an initial velocity of 14.7 m/s.

a. At what time or times is the ball 30 m above the ground?

b. At what time does the ball hit the ground?

a.-1.88 and 4.88 seconds

b.-2.69 and 5.68 seconds

What is the gestation period of an Hippopotamus?

A: 4 months

B: 8 months

C: 12 months

D: 16 months

B 8 months

Solve using any method

25x2 - 49 = 0

1.4 and -1.4

Write a polynomial in general form that has x-intercepts of 8 and -3 and a

y-intercept of -12

y = 0.5x2 - 2.5x - 12

Write an equation for this polynomial in factored form

(0, -192)

y = 3(x-4)2(x+2)(x-2)

-7/13+22/13*i

6 - 5i

3 + 6i

-4/15-17/15*i

Name 5 real 4 letter words made up of the letters in the word ARROWHEAD.

Road

Head

Dear

Read

Word

Wade

Find the exact solutions of the equation

3x2 + 2x + 4 = 0

x=-1/3 ± i√11/3

Factor the following polynomial completely

x4 - 324

(x+3√2)(x-3√2)(x+3i√2)(x-3i√2)

Factor

12x2 - 7x - 10

2(3x - 7)(3x + 2)

Factor

18x2 - 30x - 28

(3x+2)(4x-5)

Factor

24x5 + 81x2

3x2(2x + 3)(4x2 - 6x + 9)

On what vegetable did an ancient Egyptian place his right hand when taking an oath?

Onion

Factor

x3 + 2x2 - 16x - 32

(x+4)(x-4)(x+2)

Find a polynomial in factored form for this graph.

0.5(x+4)(x-2)

Draw a graph of a function with the following criteria:

A cubic function with two real zeros, whose graph has a negative

y-intercept

What is the record snowfall in Milwaukee, WI for one winter? (Within 6 inches)

109.8”

9’ 10”

Write a polynomial function with the given criteria.

A fourth-degree polynomial function with two double roots, 0 and

2, and whose graph contains the point (1, -1)

y=-x2(x-2)2

16x4 + 8x3 + 4x2 + 2x + 1

x3 + 4x2 + 3x + 12

What instrument is used to measure wind speed?

A: Anemometer

B: Barometer

C: Altimeter

D: Fanometer

A

Find all of the zeros of x4 -21x2 - 100

No Calc

5, -5, 2i, -2i

List the possible rational roots of

0 = 6x3 + 17x2 + 6x - 8

±8, ±4, ±2, ±1, ±1/2, ±8/3, ±4/3, ±2/3, ±1/3, ±1/6

Find all of the zeros of

y = x4 - 5x3 + 3x2 + 19x - 30

No Calculator

3, -2, 2 + i, 2 - i

Find the zeros of

y = x3 - 3x2 + 25x - 75

No Calc

5i, -5i, 3

Find all the zeros of

y = x5 - x4 - 5x3 + x2 + 8x + 4

Calculator

-1, -1, -1, 2, 2

Find the zeros of

y = 2x4 - 8x3 + 9x2

No Calculator

0, 0, 2+i√2/2, 2+i√2/2