Coordinate system Questions and Answers

y intercept axis of symmetry x intercepts solutions 4 Write the equation of the axis of symmetry REVIEW Equation y a x h k Vertex The turning point of a parabola Axis of symmetry The line that cuts the parabola into two symmetric pieces the x value of the vertex written as x vertex se the information above to answer the following questions given the graph below 1 What is the vertex of the parabola 2 How many solutions are there 0 1 2 3 3 What are the roots write as a coordinate point 5 Determine the equation in vertex form Roots solutions zeros x intercepts the x values where the parabola meets the x axis and y 0 6 5 4 3 2 0 5 6 B

Find the perimeter of polygon ABCDE A E 1 04 9 CON 8 7 6 5 4 32 1 10 9 8 7 6 5 4 3 2 1 1 2 3 34567890 4 5 6 8 9 1 0 D B 1 2 3 4 5 6 7 8 9 10 C X

Angle ABD measures 4x 10 Angle ACD measures 5x 2 A D E C B What is the measure of arc AD O 12 O 58 O 96 O 116

104 D 79 G LL F What is the measure of arc ECF in circle G O 52 O 98 O 158 O 177

10 9 8 7 16 1 5 A 3 2 11 10 9 8 7 6 5 4 3 2 11 1 2 3 4 5 6 7 8 9 IC 2 1 3 14 15 6 1 7 8 A X 9 Write the standard equation for the hyperbola graphed above

Use transformations to help graph the function f x 6 3 Identity the domain range and horizontal asymptote Determine whether the function is increasing or decreasing The points 1 0 1 and 1 6 transform to the points Type ordered pairs Use a comma to separate answers as needed 10 18 15 4 2

Given OO with central angles ZAOC ZBOD Prove AC BD A B C D Complete the missing parts of the paragraph proof Proof are We know that central angles congruent because it is given We can say that segments AO CO BO and DO are congruent because Then by the congruency theorem we know that triangle AOC is congruent to triangle BOD Finally we can conclude that chord AC is congruent to chord BD because

1 point Question 30 S a ath y sin x X a Write an expression involving the variable a and h for the slope of the line segment joining S and T in the figure above Slope an expression involving the variables a and h b Evaluate your expression for a 1 6 and h 0 2 Round your answer to two decimal places a value rounded to two decimal places Slope

Graph the solution to the following system of inequalities x y 2 y x 2 1

Convert the following to polar coordinates where angles are given in radians Give one representation with r 0 and one representation with r 0 6 pts each A Give rounded to 1 decimal place The point 3 5

In circle O SU is a diameter S R 13x 15 9x 5 H What is mST O 100 O 108 O 130 O 160

In circle O ST is a diameter 2x 8 R PU 3x 14 U S 3x 14 T What must be the value of x 22 0 25 0 O 25 4 0 37 2

Triangle ABC is graphed y 10 9 8 7 6 5 4 3 2 1 D A E G 1 2 3 1 Find the point D that partitions segment AB in a 1 2 ratio C 2 Find point E that partitions segment AC in a 1 2 ratio Triangle ADE is 5 6 7 8 9 PI 3 How does triangle ADE relate to triangle ABC to triangle ABC The dilation factor is B 10

The parabola in the image below has its focus at 2 3 and its directrix line at y 1 the point 2 6 is on the parabola Select all of the statements that are true The equation x 2 y 3 y 1 represents the parabola O The equation x 2 y 3 y represents the parabola 0 If point x y is on the parabola then the distance between x y and the point 2 3 is the same as the distance from x y to the x axis O The point 2 6 is the same distance from 2 3 as it is from the line y 1 O The point 4 3 is on the parabola The point 1 5 5 is on the parabola

Consider the line represented by y 4 x 9 Which equation represents a different line with the same slope that passes through the point 3 6 Oy 6 x 3 Oy 6 x 3 Oy 3 x 6 Oy 6 x 3

ns Find each probability using permutations 15 If six students randomly line up for lunch what is the probability that they line up from shortest to tallest if they are all different heights 16 If the letters in the word NEIGHBOR are randomly rearranged what is the probability that the arrangement ends with the letter B Directions Find each probability using combinations 17 A committee of three people is to be chosen 18 There are 11 boys and 5 girls that tried out to from a group of 14 people If Evie is in the sing a duet in a chorus concert If the director must choose two what is the group what is the probability that she will be chosen for the committee probability that both students chosen are boys

Directions Evaluate the following 1 51 1 P 2 5 181 121 C 3 Pa

Diego claims that he can tell using slopes that this quadrilateral is a parallelogram Noah looks at the slopes Diego calculated and says he could be even more specific and call it a rectangle Do you agree with either of them Explain or show your reasoning X W 10 8 6 A YA 10 00 8 6 4 N 20 2 4 6 8 10 1 pt who you agree disagree with 2 4 6 Y 10 x N POSSIBLE PO

SWYK U6L7 8 Parabolas What is the equation of the parabola given the picture below 20 15 10 25 20 5 15 40 IV 7 6 F 7 2 5 0 5 10 15 20 5 This picture shows a parabola with a vertex at 7 6 the focus point at 7 2 and the directrix line at y O x 7 y 2 y 10 O x 7 y 2 y 10 O x 7 y 2 y 10 O x 7 y 2 y 10

What is the equation of the circle pictured 8 6 O x 2 y 3 16 O x 2 y 3 16 O x 2 y 3 4 O z 2 y 3 4 2 2

d Sport Venue a Figure 1 b Estimate the area of the base of the Sport Venue quadrilateral you sketched in Figure 1 by using Trapezoidal rule and Simpson s 1 3rd rule with any number of strips at least 8 strips of your choice Show Transcribed Text

48 PREPARING FOR MONDAY Factor the following quadratics a x 12x 32 b x 18x 81 C 1 x 14x 49

1 Write the equation of the circle 8 Center 7 6 5 3 A 2 T Radius 2 1 0 2 b 6 1 2

Drections Fnd each probability using the data given in the table The employees of a company were asked they are mored and if they have children ien 30 b Pinot married but with children s Pin den

17 Of the students at Wayland High School in the first quarter 48 made honor roll 30 had perfect attendance and 25 both made the honor roll and had perfect attendance If a student is chosen at random what is the probability that they have perfect attendance given they made the honor roll Use for questions 19 20 A group of students were surveyed and asked if they use Instagram or Snapchat The results of the survey are shown in the Venn diagram below If a student in this group is chosen at random find each probability 19 P uses Instagram does not use Snapchat 20 Instagram Snapchat 45 18 Of the homes on the market 38 have pools 70 have at least 3 bedrooms and 25 have both a pool and at least 3 bedrooms If a home is chosen at random what is the probability that it has a pool given it has at least 3 bedrooms 30 25 20 P does not use Instagram uses Snapchat

Solve for all values of x Answer x 3 X P 37 4 2 alo

25 3 The equation of circle A is x 7 y What are the coordinates of the center and the radius a Center 7 0 r 25 b Center 7 0 r 5 c Center 7 0 r 5 d Center 7 0 r 25

4 A Pandom sample of 200 teenagers participated in a taste test Each teenager sampled four choices of fruit drink labeled A B C and D and then were asked to pick a favorite The table shows the results of this taste test C 30 30 60 Boys Girls Total B 45 25 70 C B 25 10 35 Based on the information given which of the given statements are true Select all that apply boys preferred D A The proportion of boys who preferred C is equal to the proportion of the girls who preferred C 20 120 10 35 D 70 of the participants preferred A E 40 of the participants were girls D 20 15 35 Total 120 80 200 participants who preferred B were girls

sleep Do NOT include the percent symbol Question 2 To the nearest percent what is the probability that a student who got less than 6 hours of sleep failed the exam 2 pts

Finding Slope From a Graph Find the slope of each line 1 7 3 5 Ay A 0 0 B 2 1 A B 2 KU AT Vertical line A B m undefined

ion 4 srt Chris covers her paper route which is 21 miles long by 7 30am each day If her average rate of travel were 1 mile per

Quadrilateral NATS has coordinates N 4 3 A 1 2 T 8 1 and S a b Which coordinate for S would make NATS a rhombus 4 3 3 4 4 3 3 4 Previous Page Next Page Page 5 of

A study found that 23 of the cars manufactured last year were SUVs 13 of the cars manufactured were white and 2 of the cars manufactured were white SUV To the nearest whole percent what is the probability that a car is an SUV given that it is white 9 15 21 57

Three out of nine students in the computer club are getting prizes for first second and third place in a competition How many ways can first second and third place be assigned 9P3 9 9 3 3 84 504 2048

marks Sketch the following regions on distinct Argand diagrams a A z E C zi z i 4 b B z C z reit for r 1 3 0 0 E c AUB

5 For an ellipse that generates the ellipsoid of a lithotripter the major axis has endpoints 8 0 and 8 0 One endpoint of the minor axis is 0 3 5 Find the coordinates of the foci Draw a picture with the given information to help you get started

Answer Shipulate the graph of f x to display the graph of g x 1 x 6 Points can be moved by dragging or using the arrow keys STU 3 Enable Zoom Pan H

Consider the following function r x x 3 4 Step 1 of 2 Determine the more basic function that has been shifted reflected stretched or compressed Answer 560

Consider the following function v x 5 x 4 Step 1 of 4 Determine the more basic function that has been shifted reflected stretched or compressed Answer

Match the points plotted on the graph with their polar coordinates y A B A C 4 D E B F G x y 2 3 2 4 X C D E

Write the first five terms of the sequence a 1 82 a3 10 A 11 a 5 n n 4 4n 1 0 86 X 7 11 8 15 Fantastic w XX

1 8 cm 10 cm Number of Faces Surface Area 6 cm 7 cm 8 cm 10 cm 6 cm 7 cm

Skill Concept x Define x y z as follows x y z xy yz 1 2xy Evaluate 6 12 108 X X A X B 64 344 C 0 3 of 10 x X D 64 12 46

7 Suppose we decreased each dimension in the following trapezoidal prism by a factor of What will the new volume be 12 5 10 V eno

Find the value of b Round your answer to the nearest tenth S 36 23 A 45 b C

Which equation shows a vertical stretch of 2 a reflection over the x axis then a shift left 3 units and down 4 units

lot each of the point which is the lowest and closest A 0 7 B 6 3 F 4 1 G 0 6

A bicycle wheel has radius R Let P be a point on the spoke of a wheel at a distance d from the center of the wheel The wheel begins to roll to the right along the the x axis The curve traced out by P is given by the following parametric equations x 0 70 5 sin 0 Ly 0 7 5 cos 0 What must we have for R and d R d

3 In the figure c d What are the measures of 21 and 22 1 2 4 3 5 75 8 7

4 SAT Question Equivalent Expressions Which of the following is equivalent to 3x4 3 a 3 x 1 b 3 x 1 c 3 x 1 x 1 d 3 x 1 x 1 x 1