How Is the graph of g (x)=x2+14 related to the graph of f(x)=x2? The graph of g (x)=x²+14Is the graph of fx)=x²translated units (select)

Q: Use the graph of f(x) = 3√ x to obtain the graph of g(x) = -3√x.

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Q: 8. The graph of y = f(- x) is a reflection of the graph of y = f(x) in the x-axis.

A: Authoring guidelines:…

Q: What is the effect on the graph f (x) = |3x -4| when it is replaced by f (x) + 3?

A: For tranformation of  f(x)→f(x)+a if a > 0  graph will shift a units up if a < 0 graph will…

Q: how is the graph g(x)=(x-6)^2-4 related to the graph of f(x)=x^2?

A: In this question transfomation takes place.

Q: How is the graph of g(x) = (x - 8) 2 + 7 transformed from the graph of f(x)=x2?

A: g(x) = (x - 8)2 + 7 f(x) = x2 is the parent function. The function g(x) can be obtained by applying…

Q: Sketch the graph of fif 3x + 4 f(x) : 2x – 5

A: Given; fx=3x+42x-5 The graph of the given function is,

Q: Explain how the graph of f(x) = 2Vx – I + 3 is related to the graph of y = Vx.

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Q: 2. Describe how the graph of y = 2ƒ (²x) — 3can be produced from the graph of y = f(x). List all

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Q: Find the points of intersection of the graphs of 2x 3y = -2 and 4.x – y = 6. %3D

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Q: Sketch the graph of g(x) = 2Vx + Vx. Support your graph by a table. %3D

A: i am providing the graph and tabular values in step 2

Q: Sketch the graph of g(x) = 2Vx + Vx*. Support your graph by a table as in the lecture.

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Q: The graph of y = 5f(x) is obtained by a/an _______stretch of the graph of y = f(x) by multiplying…

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Q: Find the vertex of the graph. f(x) = 2x2 − 3x + 5 (x, y) =

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Q: 8. What is the vertex of the graph of the function g(x) = (x + 2)2 - 6 ?

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Q: The graph of g(x) = logs(-x) is the graph of f(x) = logsx reflected about the %3D

A: We can plot both the graphs to see thatThe blue curve represents the equation y = log5(x) and the…

Q: 5.) Sketch the graph. f(x) = x³ + x² – x +1 %3D

A: The graph of a polynomial of 3 degree has at most  2 turns and 3 intersections with the x-axis. If…

Q: -3x – 5 is obtained from the graph of f (x) = |x| + 1.b) Describe how the graph of g (x) = -|x| Зх +…

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Q: Explain how the graphs of g and h are obtained from the graph of f. f(x) = x', g(x) = (x + 47, h(x)…

A: topic - functions

Q: Sketch the graph of f.

A: Given function is, f(x)=-3x+3 we have to Sketch the graph,   Steps for sketching the graph  1. Find…

Q: Find the dimensions of the rectangle of maximum area having two vertices on the x-axis and 2…

A: Let the rectangle has its two vertices on x-axis and remaining two vertices on the parabola y=4-x2.…

Q: 9. Determine the points of inflection and discuss the concavity of the graph of f (x) = x* – 4x²

A: Given : f(x) = x⁴ - 4x²    -----(i) We have to find point of inflection and the concavity of the…

Q: suppose (-2,1) is a point on the graph of y=f(x). what is a point that will be on the graph of…

A: Topic - functions

Q: What are the points of intersection of the graphs of thefunctions f(x) = - 3x + 2 and g(x) = x2 - 2x…

A: f(x)=-3x+2 and g(x)=x2-2x-4

Q: Explain how the graph g(x)=|x+2– 2 is obtained from the graph of f(x)=|x|

A: Given data:   *The function g(x) is g(x)=|x+2|-2. *The function f(x) is f(x)=|x|.   The general form…

Q: how do you draw the graph of f ( x ) = 5^(x + 4)

A: We have to graph the given function.

Q: How does the graph of f(x)=(x-9)'-3 Compare to the parent function gx) = x". |

A: Given, f(x)=(x-9)4-3 g(x)=x4

Q: The graph of f(x) = x2 – 7 is horizontally stretched by a factor of 4.5. Write the equation…

A: Here the graph of f(x)=x²-7 is horizontally stretched by a factor of 4.5.  We want to write the…

Q: How is the graph of f (a)= (x - 4)° transformed from its parent function?

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Q: How does the graph of g(x) = 4x + 5

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Q: Compare and contrast the graphs of z2 = x² +y² and z = x² + y²

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Q: (a) How is the graph of y = f(x – 3) + 2 obtained from the graph of f? (b) How is the graph of y =…

A: Let the given graph is f(x). (a) To obtain the graph of y=f(x-3)+2 First, horizontally translate the…

Q: The graph of y = -9|x+3|-5 can be obtained from the graph of y= |x| by shifting horizontally…

A: Given

Q: how does the graph shoft from f(x)=2x to f(x)=2x+4

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Q: What's the relationship between (x)^1/2 and (x)^2? Based on their properties and graphs

A: whats the relationship between the given curve

Q: How do I graph f(x)=a(x-h)^2+k (a does not equal 0) on the conditions a< 0, h=2 and the max value…

A: Given

Q: A traffic report generated by the city council has determined that traffic increases or decreases…

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Q: Draw the graph of f(x) = 6" – 4 -

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Q: The graph of f(x)=x^2 was transformed to create the graph of g(x)=f(x)-9. Which statement about the…

A: I have provided solution in step 2.

Q: How is the graph of y = f(x+2) – 1 obtained from the graph of y = f(x)? %3D

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Q: How does the graph of f () = a²compare to the graph of g (2) = (x + 2)² – 7? The graph of 9 (æ) is…

A: Shifting of graph

Q: how can the graph of f(x)=1/(x-9)^2 + 7 be obtained from the graph of y= 1/x^2 ?

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Q: What is the end behavior of the graph of f(x) = – 0.5x2 – 3x – 4? A.as x increases, f(x) increases;…

A: The given function is

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: Explain how the graphs of g and h are obtained from the graph off. f(x) = x², g(x) = (x + 4)°,…

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Q: Draw the graph of the problem and comment the solution.                Max z = 10x1 +   20x2…

A: Problem isMAX Zx =  10 x1 + 20 x2subject to2 x1 + 6 x2 ≤ 102 x1 + 4 x2 ≤ 164 x2 ≤ 8x1    ≥ 5and…

Q: The profit function for a company selling x units of a certain commodity is given by P(x) = -1500 +…

A: We have to solve given Questions

Q: how is the graph of g(x)=x³+2 related to the graph of f(x)=x^3

A: The graph of  x3 and x3+2 are related to each other.  Both the graphs work in same sense but graph…

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

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Q: maximize: z 680x, + 250x2 subject to: x1 + 5x2 < 40 X1 2 0, x2 2 0 (HINT: If you decide to graph, it…

A: To solve the following inequalities using graph

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.