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Math 2 Final Review Fall 2024
Fall 2024
Pear Assessment
Pakas en las Rakas - Junior H
BOOKMARK
CHECK ANSWER 53 What is the absolute value function represented by the graph below? Give your answer in vertex form (y=a∣x−h∣+k)
The graph shows g(x), which is a translation of f(x)=x2. Write the function rule for g(x). Write your answer in the form a(x−h)2+k, where a,h, and k are integers or simplified fractions.
g(x)=
れ 5.2.3 Qulz: Polynomial Functions Questlon 3 of 10
Which of the following is most likely to be a relative maximum for this graph?
A. (3,0)
B. (2,−4)
C. (−1,8)
D. (−2,0)
Determine if triangle BCD and triangle EFG are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.) Answer The triangles □ similar.
Draw ΔLMN with vertices L(3,−1),M(8,−2), and N(6,2). Find the coordinates of the vertices after a 90∘ rotation about the origin and about each of the poil and N. What are the coordinates of the points after a 90∘ rotation about the origin?
L′(1,3),M′(2,8),N′(−2,6)
What are the coordinates of the points after a 90∘ rotation about L ?
L′(3,−1),M′(4,4),N′(0,2) What are the coordinates of the points after a 90∘ rotation about M ?
L′(7,−7),M′(8,−2),N′(4,−4)
What are the coordinates of the points after a 90∘ rotation about N ?
L' □ , M' □ , N′□
48. Draw a picture to illustrate the property of a parallelogram.
a. Both pairs of opposite sides are parallel.
b. Both pairs of opposite sides are congruent.
c. Both pairs of opposite angles are congruent.
d. Diagonals bisect each other.
e. One pair of opposite sides are congruent and parallel.
Given: ABCD is a parallelogram.
Diagonals AC,BD intersect at E .
Prove: AE≅CE and BE≅DE
Statements 1. ABCD is a parallelogram 2. AB∥CD 3. ∠BAE and ∠DCE
are alt. interior angles Reasons 1. given 2. def. of parallelogram 3. def. of alt. interior angles CorrectIAssemble the next statement.
Intro
The graph below shows the amount of money charged by two electricity providers per month, depending on the amount of electricity used.
a) Alexander uses 240 kWh of electricity per month. Which provider would be cheaper for Alexander?
b) Lawrence pays the same price for electricity whether he uses provider A or provider B. How much electricity does Lawrence use per month?
What will happen to the equilibrium price and quantity if the demand curve shifts from D1 to D2 in the market described by the graph above? Equilibrium Price
Equilibrium Quantity
A. Increase Decrease
B. Increase Increase
C. Not change Increase
D. Increase Not change
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Show Examples Arianna throws a ball up in the air. The graph below shows the height of the ball h in meters after t seconds. After how many seconds does the ball hit the ground?
Question
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Show Examples Ajay throws a ball up in the air. The graph below shows the height of the ball h in meters after t seconds. What is the ball's greatest height?
Select all of the options which are true of the perpendicular bisector of line AB .
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It is a fixed distance from line AB
It meets line AB at 90
It passes through A
It meets line AB at 180
It passes through B
It does not meet line AB
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It passes through the midpoint of line AB
a) Ricava dal grafico la velocità di A e di B per t=0s.
b) Ricava dal grafico la velocità di A e di B per t=4,0 s.
c) Trova dopo quanto tempo la velocità di A diventa metà di quella iniziale e poi uguale a zero.
d) Determina in quale momento A e B hanno uguale velo cità.
e) Calcola l'accelerazione di A e di B.
[e) −1,2m/s2;0,80m/s
Which of the following statements best describes the scatterplot pictured?
I. A linear model appears to be a good fit.
II. The variables are positively associated.
III. The variables are negatively associated.
A. I only
B. II only
C. III only
D. I and II only
E. II and III only
The graph shows the function y=q∗
a) Give the coordinates of the point of intersection of the curve with the y-axis.
b) Find the value of q.
q=
I
1
0
)
c) Work out the value of y when x=10y=□
The graph of the function f is given for −3≤x≤6. Which of the following statements about the rate of change of f over the interval 2<x<6 is true?
(A) The rate of change is positive
(B) The rate of change is negative.
(C) The rate of change is increasing
(D) The rate of change is decreasing.
as an verierid prets reflection of point Ams an ondered pair. 2. Use the graph to answer parts (a)-(k)
as is corternd peit. as an endered patu.
b. Reflect point F across the x-avis and label the reflection H. Write the coordinates of point F as an ordered pair.
*eninco
mactice
Given two figures, Figure 1 and Figure 2, where Figure 2 is a scaled copy of Figure 1: a. Find points P and R in Figure 2 corresponding to A and C in Figure 1, with distance P to R as 6 units. b. Find points B and D in Figure 1 corresponding to Q and S in Figure 2. c. Calculate the scale factor from Figure 1 to Figure 2. d. If distance between G and H in Figure 1 is 1 unit, find the distance between corresponding points in Figure 2. Distance between A and C in Figure 1 is 2 units.
Locating Fractions on a Number Line Use the drop-down menus to label the points on the number line. Point A is at □
Point B is at □
Point C is at □
Point D is at □ Intro
The box plot represents the number of minutes customers spend on hold when calling a company.
Number of Minutes Spent on Hold What is the upper quartile of the data?
3
5
6
8
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The graph of f′′, the second derivative of the continuous function f, is shown above on the interval [0,9]. On this interval f has only one critical point, which occurs at x=6. Which of the following statements is true about the function f on the interval [0,9] ?
(A) f has a relative minimum at x=6 but not an absolute minimum.
(B) The absolute minimum of f is at x=6. C f has a relative maximum at x=6 but not an absolute maximum.
(D) The absolute maximum of f is at x=6.
Graph of y=f(x)
Consider the function f(x)=−(2x+16)(x−7)2 with restricted domain (−9,9) which is graphed above and let g(x) be defined as g(x)=∣f(x)∣.
a) Find the x-coordinates of the local extrema of f(x) in the open interval ( −9,9). Enter "none" (without the quotation marks) if there is none. Local maximum at x=7
Local minimum at x=−3
b) Find the x-coordinate(s) of any local extrema of g(x) in the open interval (−9,9). If more than one, separate with semicolon(s) and if none then enter "none" (without the quotation marks).
Local maximum at x=−3
Local minimum at x=−8;7
c) Find the open interval(s) on which the graph of y=g(x) is concave down. Enter your answer in interval notation such as ( a,b ). If more than one interval, instead of using the union symbol, separate the intervals with a comma (i.e (a,b), (c,d)).
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Graph of y=f(x)
Consider the function f(x)=−(2x+10)(x−4)2 with restricted domain (−6,6) which is graphed above and let g(x) be defined as g(x)=∣f(x)∣.
a) Find the x-coordinates of the local extrema of f(x) in the open interval (−6,6). Enter "none" (without the quotation marks) if there is none. Local maximum at x= Number
□
Local minimum at x= Number
□ Section Attempt 1 of 2
Le diagramme ci-contre donne la répartition des 35 membres d'un club de tennis âgés au plus de 18 ans en fonction de leur âge. La barre du
nombre d'adhérents de 17 ans a été effacée. 1. Combien d'adhérents ont 17 ans ? 2. Calculer la fréquence, sous forme décimale arrondie au centième, des adhérents qui ont 16 ans.
Grade 7 Math Unit 3 Assessment 24-25
Question 2
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Normal The number of gallons of water in a tank, y, over a period of x hours is shown in the graph below. What is the constant of proportionality in this situation?
A. 5 gallons per hour
Which of the following explains how △AEB could be proven similar to △DEC using the AA similarity postulate?
∠AEB≅∠CED because vertical angles are congruent; reflect △CED across segment FG, then translate point D to point A to confirm ∠EAB≅∠EDC.
∠AEB≈∠CED because vertical angles are congruent; rotate △CED180∘ around point E, then dilate △CED to confirm EB≈EC.
∠AEB≅∠DEC because vertical angles are congruent; rotate △CED180∘ around point E, then translate point D to point A to confirm ∠EAB=∠EDC.
∠AEB≅∠DEC because vertical angles are congruent; reflect △CED across segment FG, then dilate △CED to confirm EB≈ED
2 Multivie Firswer 1 point
Find all the circuits of length 2 . Choose all that apply-
A,DA
F, H,F
A,B,A
A,H,A
C,DC
F,G,F
D,E,DB,C,B
None of the above.
G,H,G
B,D,B
A,E,A
EXN.1.SL.TZO.8 [9 marks] The following diagram shows the graph of y=−2+x−3 for x≥3.
(a) Describe a sequence of transformations that transforms the graph of y=x for x≥0 to the graph of y=−2+x−3 for x≥3. [3 marks] A function f is defined by f(x)=−2+x−3 for x≥3.
(b) State the range of f. [1 marks]
(c) Find an expression for f−1(x), stating its domain. [5 marks]
The box plots show the grades in Calculus from 2 cities. Final Grades AP Caclulus 2011-2021 Edmonton
a. Which city had a larger Interquartile Range (IQR)?
b. What was the maximum score Edmonton?
c. What was the maximum scor Calgary?
d. 50% of scores for both cities under the number...
e. 25% of scores for both citie under the number...
Someone has plotted this scatter graph and you are marking their work. Write down all of the things on the list that would improve their graph. List of possible improvements
Draw lines between the points
Add units to the axis labels
Make the horizontal axis go up to 40
Make the vertical axis go up to 400
Make all the points different colours
At Sunrise Mountain Resort, skiers and snowboarders use a chairlift to get to the top of a hill. The graph shows the relationship between the number of full chairs, c, that arrive at the top of the hill and the total number of people transported, p.
Select the correct answer from eacn arop-uvwirimitu. There are seven lines of reflection across which the regular polygon ABCDEFG can reflect to map onto itself. One of them is a of
5. Design a G-L flip-flop that behaves as follows: If G=0, the flip-flop does not change its output state. If G=1, the next output state is equal to L.
a. Derive the characteristic equation of the G-L flip-flop.
b. Convert J-K flip-flop to G-L flip-flop.