Q2. Showing work NOT necessary. If you shift the graph of y ƒ(x) three units up and two units to the right, you get the graph of (a) y f(r+2) +3 (b) y = f(r- 2) +3 (c) y = f(x – 3) +2 (d) y = f(x+3)+2 (e) y f(x+2)-3

Q: The graph of y=1/6f(x−2)+8 is the graph of y=f(x)

A: Consider the graph of y=fx. Shift the graph 2 units to the right, y=fx-2

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A: Given: y=x2

Q: Use the graph of y = x2 (in blue) to graph the following (in red). (a) g(x) = x2 + 2 y 10 -10 10 -…

A: Shift the blue graph upwards by 2 units.

Q: 21. The graph of y x2-3 is obtained by sliding the graph of y x. a. 3 units upward b. 3 units to the…

A:

Q: (a) Consider the graphs of y1 = f(x) and y2 = f(2x + 7). Make a prediction about how these graphs…

A:

Q: For the graph below, the concavity switches at x = +1.7 and 0 and there are critical points at x =…

A:

Q: is the graph of y=60(1.08)xy=60(1.08)x affected if it is changed to y=50(1.08)xy=50(1.08)x?     A)…

A: here the graph changes increasing yo decreasing

Q: 4. Graph the functionx +y =-4. 10 8 -6 -8 -10 -10 -8 4. -2 0 2 4 6 8 10 X+y =-4

A: We will solve the following

Q: 1) Describe what happens to the graph of y = |x| in the following situations x is replaced with 3.…

A: given y=|x| a) if x is replaced by x/3 then graph of function shrink by 1/3 units b) if x is…

Q: 4. The reflection of the graph of y = x+ x- 3 in the y-axis is the graph of: A. y = x+ x - 4 B. y =…

A:

Q: ry It Problem #2: How does the graph of h(x) = (x+ 1)2 compare to the graph of f(x) =x2?

A: We can answer the question as below

Q: 7. Using the graph of y=h(x) below, sketch the graph of y=. -6 # -8 6 0 -2 4 -6 -8- 6 $ A. 10

A:

Q: 13) The graph of y = (x + 3)² + 1 is the graph of y = x? shifted...

A:

Q: Describe geometrically W C R² bu sketching its graph: (a) X1 W = = 3x2 :X= x1 = X2

A: Given that           W=x∈ℝ2 : x=t13, t is a real number

Q: 1 True or False The graph of y =7g(x) is the graph of y = g(x) vertically stretched by a factor of…

A: Answer: True.

Q: The graph of y = f(1) is shown. Sketch the graph of y =f(x)- %3D 6+ -6 5 43/2 1 2 3 4 5 6 -2 -3+ -4-

A:

Q: Using a calculator of computer, generate a graph like the one shown below by graphing y=e^2x-1 and…

A:

Q: Show a rough sketch of the graph of x^2 + y^2 = z^4

A: Given,

Q: Q4, Using Vertical Shifts and Horizontal shirts in Graph of Runctions: O y = (x+2)-3 © y = Cx=2)+3

A:

Q: 1. how can the graph of (x)=1/x-7, a+13 be obtained from the graph of y=1/x ?

A:

Q: Below is the graph of y f(x). Graph y=-f(x). 2- -6 -4 -2 2. -2- -4- -6+

A:

Q: 2 Below is the graph of y = x. Translate it to make it the graph of y = (x+2)² – 3. * (0.0) 2 -2-

A:

Q: 4. The graph of y = −2√x + 4 is translated 3 units to the left. State the defining equation of the…

A:

Q: 2. At what point(s) do these graphs intersect? y = x? + 3x – 5 y = 4x +1 Seth's solution: y = x2 +…

A: To find the point of intersection of two functions we solve them as if they are a system of…

Q: How does the value of a effect the graph of y = ax2? Discuss the case for a >= 1 and for 0 <=…

A:

Q: True or False The graph of y = - f(x) is the reflection about the x-axis of the graph of y = f(x).

A: To determine if the statement is true or false.

Q: Q16) Use shifting graph to sketch a) y = |(x – 3)² – 2| b) y = -1+ 5cos (x –-)

A: Given a y=x-32-2b y=-1+5cosx-π2

Q: 6. The y-intercept of the graph represented by f(0) =-3cos kO+ -b is 3-b -3-b А. -b 3-b С. D. k k B.

A: Solution is given below We will simplify the equation

Q: A. The graph of y = f(x) is shown. Translate it to get the graph of y = f(x−2). B. The graph of y…

A:

Q: The graph of y = 2x1/3 + x4/3 changes its concavity at: 1) nowhere 2) both (0,0) and (1,3) 3) (0,0)…

A:

Q: x + 3x +2 uppose fx)- -2r-3 sthen the graph of ft) has a vertical avymprtute at x = 3 y = 3 x = -1 y…

A:

Q: (a) If f(x) = x4 + 3x, find f'(x). f'(x) =| (b) Check to see that your answer to part (a) is…

A:

Q: 4. Describe how the signs of h and k affect how to obtain the graph of y = f(x – h) +k from the…

A: Here, the objective is to describe how the signs of h and k affect the graph of function y=f(x-h)+k.…

Q: 4. Sketch the graph of y = |1 – x| – 1.

A:

Q: The graph of y-Jx) is shown. HS4 2 3 4 5 -2 -3 Evaluate x when x) 4

A: The graph of the function f(x) is shown below:

Q: A.  – The graph of y = f(x) is shown. Translate it to get the graph of y = f(x) + 3 B - The graph…

A: Let's Solve,

Q: 2 Explain how the graph of y = -f(x - 2) compares to the graph of y = f(x).

A: The given function: y=-f(x-2) Parent function: y=f(x)

Q: how I sketch the graph for  y=x^2+4x+3?

A: Given: The function, y = x2 + 4x + 3

Q: 3 Graph the function y =x-3. 10 8. 4. -2 -6 -8 -10 -10 4 -2 2 4 6 8 10 ? y = -x-3 4

A:

Q: Which choice best describes the graph of y = -x2 - x+ 6? YA -4 0 4 X -4- -8- • positive for x > -3…

A:

Q: The graph of Y f() (solid) and y = g(x) (dashed) is shown %3D 2+ -6 -5 4 -3 -2 -1 2 3 4 5 -3 -4 -5

A: Given query is to find indicated limits.

Q: The graph of y = x3 2x + 6 - Increases on (-) Decreases on Decreases on Increases on (2, 00)…

A:

Q: 2. Determine algebraically the point of intersection for the graphs of y=2(3") and y= 6(2*). Round…

A:

Q: a) What transformations would you make to the graph y = f(x) to obtain the graph of y = f(x - 4) ?b)…

A: What transformations would you make to the graph y = f(x) to obtain the graph of y = f(x - 4)?

Q: b) 16 4 y=-0.0519x + 1.0777x -7.4569x+ 20.247x- 12.333 12 R = 0.6113 10 10 tame Calculate point t=10…

A: Underfitting is a scenario in data science where a data model is unable to capture the relationship…

Q: 2. The function R(x) = -1.07x² + (K + 12.3)x – 116 shows the relation between the %3D revenue (R)…

A: The given function is  R(x)=-1.07x2+(K+12.3)x-116

Q: Try It Problem #2: How does the value of h affect the graph of f(x)= 2x-h? Compare the graphs of…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. The graph of y= f(x+2)-3is the graph of y= f(x) А. shifted left 2 units and down 3 units В.…

A: We have to find

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.