Quadratic equations Questions and Answers

The graph is a transformation of y 3 Write an equation that describes the transformation 7 6 5 4 3 2 7 6 5 4 3 2 1 1 T 2 3 4 5 6 7 2 3 4 5 6 7 q

The equation of the ellipse that has a center at 3 5 a focus at 7 5 and a vertex at 2 5 x C y D A B where A B C D 1

13 x 2 5 22 2x 1 1 14 2x 1 3 23 x 2 4 5 15 2x 16 24 3x 5 53

Joel started doing sit ups to prepare for the school fitness test In 5 days he did 160 sit ups 21 sit ups 54 sit ups 60 sit ups 79 sit ups What is the mean absolute deviation of the number of sit ups he did If the answer is a decimal round it to the nearest tenth 13 8 13 4 127

If f x 3 and g x 4 find f g x and determine any domain restrictions Select the correct answer below O f g x O f g x 10x 9 x 4 x 3 O f g x O f g x O f g x 4x 33 x 4 x 3 10 x 4 x 3 O f g x where x3 4 10 x 4 x 3 where x 3 4 10x 9 x 4 x 3 4x 33 x 4 x 3 where x3 4 where x 3 4 where x 3 4 where x 3 4

Add or subtract Assume that all variables represent positive real numbers 3 128xy3 23 16xy y 250x 3 3 128xy3 2 16xy y 250x Type an exact answer using radicals as needed Simplify your answer

Question If f x 3 and g x O f g x Select the correct answer below O f g x O f g x O f g x O f g x O f g x 12x 9 x 6 x 3 9 26 find f g x and determine any domain restrictions x 6 6 x 6 x 3 6x 45 x 6 x 3 where x3 6 6x 45 x 6 x 3 where x 3 6 6 x 6 x 3 where x 3 6 12x 9 x 6 x 3 where x3 6 where x 3 6 where x 3 6

Simplify the expression by first converting to rational exponents Assume that all variables represent positive real numbers The simplified form is Type an exact answer using radicals as needed

A remote controlled boat traveled 12 feet heading south and 50 feet heading west totaling 62 feet over the course of 16 seconds Heading south the boat traveled at an average speed 3 feet per second less than its speed heading west What was the average speed of the boat heading west Do not include the units in your response

Janice and Donald worked together for 2 hours to build a picnic table after which Donald continued working for 1 hour without Janice to finish the job If each is working alone Janice typically takes 2 less hours than Donald to build a picnic table Based on this information how long would it have taken for Janice to build the picnic table alone Do not include the units in your answer

9 9 a 3 4 3 y 2 2 3 4 o X 0 Identify a and b for the hyperbola with equation x a y 6 1

The equation of the ellipse that has a center at 6 4 a focus at 2 4 and a vertex at 1 4 x C A y D B2 1 where A B C

Expressions Add and subtract Assume that all variables represent positive real numbers 24 x13 7 81x 3 3x 4 x 24 x 3 7 81x 3 3x 4 x 13 Simplify your answer Type an exact answer using radicals as needed

Expressions Find the distance between the pair of points 5 4 and 13 10 The exact distance is units Simplify your answer

Find the distance between the pair of points 12 9 and 6 4 The exact distance is units Type an exact answer using radicals as needed

Find the distance between the pair of points 11 11 and 6 5 The exact distance is units Type an exact answer using radicals as needed BILLETS

1 Given the following quadratic function by Completing the Square AND using the quadratic formula

Determine whether the following polynomials span P2 polynomial of degree 2 p1 1 x 2x2 p2 3 x p3 5 x 4x2 p4 2 2x 2x2

Rewrite the Cartesian equation y 7 as a polar equation r 0

Factor the following quadratics and using the X Method be sure to find the factors AND solutions

Solve 2 cos x 3 cos x 1 0 for all solutions 2kx Select an answer Select an answer k any whole number Give your answers as exact value k any real number k any integer X by

Determine whether the equality is always true X 3 x x y z dz dy dx x y z dz dx dy 3 x 3 0y 3 4 Select one O True O False 4

O O Simplify the following expression Select the correct answer below 1618 X24 478 x24 25618 x6 256t8 X24 25612 x24 41 6

Ex 1 Use Householder s method to solve the following linear system 8x 4x 8x 4 4x 4x 8x 8 8x 4x 4x 8

Show that the line 4 H 3 3 t5 te R 2 is contained in the plane 3 2 x 17 Your solution has to explain clearly each step in your argument Use English sentences and make sure you have justified your conclusions

Which quad function best fits data X rmake 2 3 4 5 6 32 78 178 324 330 337 V 11 41x 154 42x 143 9 11 4x 154 42x 143 9 11 41x 154 42x 143 9 11 412 154 42x 143 9 enori ym mo

Write the equation of a parabola whose directrix is y 3 and has a focus at 7 7

My Act Find the diagonal of the given figure O 14 cm 28 cm Circle Area 616 sq cm

Define polynomial then create an example of adding subtracting and multiplying polynomials May 16 17 2022

Question 3 Find the area of a basketball hoop if it has a radius of 12 5 cm Use 3 14 70 56 square cm O 28 14 square cm 490 63 square cm

y a x 8 A hyperbola with equation of 5 2 3 Find the smallest possible whole number values for a and b b y 6 6 1 has an asymptote with equation

Give two examples of Quadratic Word Problems one where you are finding the min max and another where you are looking for the axis of symmetry

Your credit card billing cycle is 10 days You started your billing cycle with a balance of 500 On Day 6 you made a 900 purchase On Day 8 you made a 1 200 payment to your account What is your finance charge if your annual interest rate is 17 O 2 25 O 3 46 O 5 27 O 2 75

My Activities Question Points 1 Find the volume of the given rectangular prism 7 m Tell me what you want to do Q O 520 m O 420 m O 620 m 3 12 m 5 m

3X 2 A y 5x 2 B y x 6 C y x 1 4 4 3 2 1 1 2 1 2 3 The equation of this line is y x 2 Which of the following shows a way that we could change the equation to shift the line upward

Determine the area of the given figure 5m 10 m 7m O 142 m 2 2 O 151 m O 149 m 5m 13 m

Which describes the end behavior of the function As x o f x co as x 00 f x 5 As x o f x o as x 00 f x 5 As x o f x o as x f x 5 As x o f x o as x 00 f x f x 2 5 5

show that plane 2x 2y 2 12 0 touches the sphere x y z 2x 4y 27 3 0 and find the point of contact 900 5 Find the equation of the sphere that passes through the points 4 1 0 2 3 4 1 0 0 and touches the plane 2x 2y z 11

uestion 8 Points 3 Sarah wants to buy a round photo frame for her mother The area of the photo frame is 254 34 m What is the circumference of the photo frame O47 91 cm 24 7 cm 56 52 cm

The graph of a function is given below According to the 2 1 y f x 1 2 3 4 5 6

A rectangular room measures 24 meters by 20 meters Find the area of the room 380 meters 2 O280 meters 2 480 meters 2

Question 6 Points 3 The base area of a square pyramid is 169 cm Find the slant height of the pyramid if its lateral surface area is 192 cm 8 5 cm 7 38 cm 6 6 cm

Find the area of the parallelogram ABCD 6 cm A D 5 cm 12 cm O 15 sq cm O 60 sq cm O 30 sq cm B

Determine the center and vertices of the ellips 25x 9y 50x 18y 191

Question 5 Points 2 The base area of a square pyramid is 144 cm Find the slant height of the pyramid if its lateral surface area is 228 cm 12 5 cm 8 6 cm 9 5 cm

Solve the equation tan t 1 for 0 t 2TT Give exact answers separated by commas

15 26 Calculate the iterated in 15 6x y 2x dy d dx x e dx dy 17

The midpoint of the line segment from P to P is 6 2 If P 6 9 what is P2 P Type an ordered pair

Find the volume of the sphere whose radius is 14 cm Use 3 14 3 O 9 498 67 cm 3 O 11 488 21 cm O 6 500 67 cm 3

Use the data in the table to build a logistic model for th population of the city t years after 1900 Population Year in millions 1900 1910 1920 1930 1940 1950 1960 1970 0 8 1 0 1 3 1 7 2 0 2 5 3 0 3 6