**Title: Matching Graphs to Functions****Instructions:**Match each graph to one of the following functions. Select the function for each graph from the given options:- $ f(x) = x^2 + 2x + 3 $- $ f(x) = x^2 - 2x + 3 $- $ f(x) = x^2 - 2x $- $ f(x) = x^2 + 2x + 1 $- $ f(x) = x^2 - 1 $- $ f(x) = -x^2 - 1 $- $ f(x) = x^2 - 2x + 1 $- $ f(x) = x^2 + 2x $**Task:**Drag each function given above into the area below the appropriate graph, depending on which function is represented by which graph.**Graphs:**1. **Graph 13:** Features a downward opening parabola, centered around the y-axis. 2. **Graph 14:** Shows a parabola with a vertex at the origin, opening downwards.3. **Graph 15:** Displays a standard parabola opening upwards.4. **Graph 16:** Depicts a parabola opening upwards with a vertex away from the origin.5. **Graph 17:** Shows an upward opening parabola shifted slightly to the left.6. **Graph 18:** Features a parabola opening upwards, vertex closer to the y-axis.7. **Graph 19:** Displays a standard parabola with a vertex closer to the x-axis.8. **Graph 20:** Shows a parabola opening upwards, with fewer horizontal shifts.**Instructions for Users:**Review each graph and compare it to the functional behaviors given in the list. Drag the corresponding function to the space provided below each graph based on the shape and position of the parabola.**Note:**Ensure to verify the vertex form, axis of symmetry, and direction of the opening for accurate matching.

Given f(2) = x2 + 2x + 3 = x2 + 2x + 1 + 2 = (x + 1)2 + 2…

Match each graph to one of the following functions. Select the function for each graph from the given options. f(x) =x +2x+3 f(x) =Dx-2x+3 f(x)=x-2x f(x)=x +2x+1 f(x) =x-1 f(x)= -x-1 f(x)=x-2x+1 f(x) =x+2x Drag each function given above into the area below the appropriate graph, depending on which function is represented by which graph. 13. 14. 15. 16. -10 -10 (1.0) 10 -10-1,0 10 17 18. 19. 20. 10 -10 (-1,2 -1,-10 -10 10 -103 103

Match each graph to one of the following functions. Select the function for each graph from the given options. f(x) =x +2x+3 f(x) =Dx-2x+3 f(x)=x-2x f(x)=x +2x+1 f(x) =x-1 f(x)= -x-1 f(x)=x-2x+1 f(x) =x+2x Drag each function given above into the area below the appropriate graph, depending on which function is represented by which graph. 13. 14. 15. 16. -10 -10 (1.0) 10 -10-1,0 10 17 18. 19. 20. 10 -10 (-1,2 -1,-10 -10 10 -103 103

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: Use the piecewise function to answer the following question. -10 10

A: See attached file for a step by step explanation to find the piece wise function.

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Given, f(x)=15000+3000x , where x is the number of siblings and f(x) is the financial aid of the…

Q: graph the functions. f (x) = (x + 1)2

A: To plot the graph of f(x)=(x+1)2, use the transformation of functions, horizontally shift the graph…

Q: Sketch the graph of the function

Q: Graph: f(x) = 3x.

Q: For each graph, write the letter of the matching function f and its ransformation, g. a. f(x) = 0.5*…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: An advertising agency has found that when it promotes a new product in a city the weekly rate of…

A: Given the equation,R=1800-60x ......equation(1) Question 1Here, x intercept is the x value at which…

Q: Graph the function f(x) x + 1. 4 2 -5 -4 -3 -2 -1 2 3 4 5 -2 -3 -4 3.

A: Given- fx=15x+1 To Graph- The above function.

Q: Based on the equation of each function, describe how the graph of each function compares to the…

Q: Differentiate each function by applying chain rule. Match each item to a choice: y = x(x² + 3)² f…

Q: Graph the function f(x) = (x+5)-4 by starting with the graph of y=x2 and using transformations…

A: The graph of y = x2 is given below

Q: 0. if x -1 . Graph the function f.

A: Given the function f is f(x) = 0if x<-13if x=-1-3if x>-1

Q: The bar graph on the right shows the average cost of room and board at four-year public and private…

Q: 2. Graph the function: f(x) = - er-1 +2 x y xy

Q: A hot air balloon is at 400 feet above sea level and begins rising at a rate of 105 feet per minute.…

A: The rate is equal to the slope of the linear relationship between balloon elevation as a linear…

Q: a. Graph the function f (x) = 4e-0.3x.b. Find f ( -10) and f (10).

A: a. Graph the function f (x) = 4e-0.3x.b. Find f ( -10) and f (10).

Q: Started out of the back of her house, Tamika runs a business making jewelry. Now that the business…

A: The objective of this question is to write a function that represents the monthly cost of running…

Q: graph the functions. f (x) = (x + 2)2

A: Graph the functions. f (x)=(x + 2)2

Q: The following represents the graph of a function f(x): 3 1 2 3 -1 -2- On a separate set of axes,…

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Definition used - The domain of the function - All the input values which a function can take are…

Q: Graph the function

Q: Graph the function. f (x) = - 1/7 x + 1

Q: Graph y = 1/x, y = 5/x, y = 10/x , and y = 20/x on the same set of axes. (Choose your own…

A: The equation given to us is y = 1/x, y = 5/x, y = 10/x , and y = 20/x

Q: (x(x+1), if x S-2 f (x) ={ 4x +5, if -2< x<1 - 2x +3, if x 2 1

Q: If the function is f(x) =3x+5 and the domains are -1, 0,4,7, what's the range

A: Given function is f(x)=3x+5 given domains are -1,0,4,7 find the range of the function

Q: Graph the following function accurately (find the vertex and plot another 4 points). f (x) = 2x² –…

A: Given the function f(x) = 2x2-12x+11

Concept explainers

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.

Question

**Title: Matching Graphs to Functions**

**Instructions:**

Match each graph to one of the following functions. Select the function for each graph from the given options:

- $ f(x) = x^2 + 2x + 3 $
- $ f(x) = x^2 - 2x + 3 $
- $ f(x) = x^2 - 2x $
- $ f(x) = x^2 + 2x + 1 $
- $ f(x) = x^2 - 1 $
- $ f(x) = -x^2 - 1 $
- $ f(x) = x^2 - 2x + 1 $
- $ f(x) = x^2 + 2x $

**Task:**

Drag each function given above into the area below the appropriate graph, depending on which function is represented by which graph.

**Graphs:**

1. **Graph 13:** Features a downward opening parabola, centered around the y-axis.
2. **Graph 14:** Shows a parabola with a vertex at the origin, opening downwards.
3. **Graph 15:** Displays a standard parabola opening upwards.
4. **Graph 16:** Depicts a parabola opening upwards with a vertex away from the origin.
5. **Graph 17:** Shows an upward opening parabola shifted slightly to the left.
6. **Graph 18:** Features a parabola opening upwards, vertex closer to the y-axis.
7. **Graph 19:** Displays a standard parabola with a vertex closer to the x-axis.
8. **Graph 20:** Shows a parabola opening upwards, with fewer horizontal shifts.

**Instructions for Users:**

Review each graph and compare it to the functional behaviors given in the list. Drag the corresponding function to the space provided below each graph based on the shape and position of the parabola.

**Note:**

Ensure to verify the vertex form, axis of symmetry, and direction of the opening for accurate matching.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Functions and Inverse Functions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

5. Graph the following function: f(x) = Vx- 2 6. Graph the following function: f(x) = 3|x- 1| %3D
Describe the relationship between the graph of f(x)=x2−2x+4 and the graph of y=x2.
Let f (x) = 2x² – 3x + 1. %3| A. Find the vertex. B. State the range of the function.
Graph: f(x) = 3x
Use the given graph of f to select the graph for the following function. y= f(2x) 6 y 4 + (-4, 2) 2 + (3, 2) -6 -4 -2 2 4 6 (-2, -2) (0, -2) -4 - -6
A frozen yogurt store charges based on how many ounces of yogurt, y, a customer puts in their cup. They also charge a flat price for unlimited toppings. The function for the cost of a cup of yogurt with toppings is f(y) = 0.37y + 1.50. What does this function indicate?
An advertising agency has found that when it promotes a new product in a city the weekly rate of change R of the number of people who are aware of the promotion follows a linear pattern. The weekly rate of change R of people who are aware of the promotion x weeks after it is introduced is described by the equation R = 1800-60x. Find the x- and R-intercepts and then graph the function on a viewing window that is meaningful in this application. What is the x-intercept? 30 (Type an integer or a fraction.) What is the R-intercept? 1800 (Type an integer or a fraction.) Choose the most appropriate viewing window boundaries for the function. OA. [0,60] by [1740,1800] OC. [0,1740] by [60,1800] OB. [30,30] by [- 1800,1800] OD. [0,30] by [0,1800]
Etwell Desserts currently sells chocolate syrup at a price of $28. per bottle. Their researchdepartment has derived the price-demand equation as p=50−0.004 x where x is the number of bottles that can be sold at $ p per bottle. (a) Express the demand x as a function of price p. Find the domain of this function.
Scientists around the world have collected data revealing that there is a linear relation- ship between the length (snout-to-vent) of a snake and the length of the fish that they can eat. This relationship is given by l(x) = -3.6 +0.17x where x is the snout-to-vent length (cm) of the snake and 1(x) is the predicted length(cm) of the fish. (a) Use the function to estimate the size of fish that a snake whose snout-to-vent length is 70 cm, will choose for their prey. (b) Calculate l'(70) and interpret the results. 1. ints ints
Which function represents the attached graph? f(x)=2lnx-2 f(x)=e2x-2 f(x)=e-.5x+2 f(x)=.5lnx+2
In the graph below. Two functions n(x) and j(x) are graphed. Find the following: 10+ 7- 5- 10 -9 -8 -7 -6 -5 -4 -3 -2 4 5 6 7 8 9 10 -2 -3 -4 -5 -6 -7 -8 -9 10+ Find x when j(x) : - 5, x = Where does n(x) = j(x)? List coordinates of all points.
Graph the following linear function. Give the (a) x-intercept, (b) y-intercept, (c) domain, (d) range, and (e) slope of the line. Do not use a calculator. f(x) = -x