Using the graph, determine the coordinates of the vertex of the parabola.109.87.6.4310-9-8-4-368.13410-2-3-4-5-6-8-910in9.

Given, The graph of the parabola We have to find the vertex of the parabola

Answered: Using the graph, determine the…

Math

Algebra

Using the graph, determine the coordinates of the vertex of the parabola. 10 6. 4 "10 9 -8 4 4 -8 "10 6. 3.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.1: Parabolas

Problem 69E

See similar textbooks

Related questions

Q: Using the graph, determine the coordinates of the vertex of the parabola. 10 9. 8 10 9 -8 -6 5 4 3 2…

A: According to the graph coordinate of vertex is (-4,-9)

Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

Q: Show work.

Q: Which is true about the graph of y < x2 + 2x − 6? A. The parabola is a solid line. B. The…

A: Equation : y=x2 + 2x - 6 y = x2 + 2x +1 - 7 y = (x+1)2 - (√7)2 (y+7) = (x+1)2 This is equation of a…

Q: MULTIPLE CHOICE Directions: A. Choose the letter of the best answer. Write the chosen letter on the…

Q: 5. Find the vertex and equation for the parabola in vertex form. Show your work by copy and pasting…

A: We will find the values of a,h,k using the given diagram. then we will find the equation of the…

Q: y = 6-x? (x, y) What is the area of the largest rectangle that has its base on the x-axis and its…

A: The area of the rectangle is l ×w so find the area and differentiate is one time and find the…

Q: A rectangle is bounded by the x-axis and a parabola defined by y= 4-x. Refer to the figure below.…

A: Given, a rectangle is bounded by the x-axis and a parabola defined by y=4-x2and area of the…

Q: A parabola intersects the x-axis at x = 3 and r = 9. What is the -coordinate of the parabola's…

Q: For the parabola shown below: y Which is an accurate conclusion about this parabola? Select one: O…

A: According to the guidelines in case of multiple questions, We are only allowed to do first question.…

Q: The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created…

A: It is given that the arch created by parabola is 32 inches wide and 27 inches high. Initially, the…

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x´ +2x-3. If there is…

Q: 10 y 8. Kt -10 -8 -6 -4 2 10 -2- -8 -10 to

A: (A) From the figure it is clear that the parabola is open downward. (B) The axis of symmetry is x=…

Q: 10) which option correctly describes the parabola below? zeros are (-2, 0) and (2, 0); vertex is x =…

Q: 5. Alicia knows that (-6,36) and (1,36) lie on the parabola defined b y = -2x2-10x+ 48. What are the…

A: We have to find

Q: Short Answer 8. Write an equation of a parabola that has a vertex (3, 8), opens downward, and is…

A: If (h,k) is a vertex and a is effective factor, then y=a(x-h)2+k is required equation of parabola.…

Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window.…

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

Q: For Exercise, the graph of a parabola is given. a. Determine the distances d1, d2, d3, and d4. b.…

Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

Q: A 4. What is the vertex of the parabola y = (x + 6)² – 9? O (-6, 9) O (6, –9) O (6, 9) O (-6, –9)

A: To solve the given problem, we use the result of vertex in parabola.

Q: Español Use the graph of the parabola to fill in the table. 8- -10 10 -2- 4- -6- -10+ (a) Does the…

Q: Determine another point on each parabola. The axis of symmetry is x = 3. A point on the parabola is…

A: The axis of symmetry of a parabola is a line about which the parabola is symmetrical.

Q: Graph the parabola y = -x? – 2 by plotting any three points on the parabola. Move the key points to…

A: Given parabola equation y=-x2-2

Q: Find the vertex of the parabola below.

A: SOLUTION-

Q: Using the graph of the parabola to fill out the information

A: Given, The graph of the parabola is shown below :

Q: Sketch a parabola with zeros at -5 and 7. Will everyone's sketch look the same? Explain your answer.

A: Topic = Parabola

Q: Using the graph, determine the coordinates of the x-intercepts of the parabola. 10 6. 4 3 -10 9 -8…

Q: Question Find the intersection points of the parabola y = 2x2 + 3x + 3 and the line 3x – y = -11.…

Q: Find the area of the largest rectangle with the lower base on the X-axis and the upper vertices on…

Q: Look at this quadratic graph and choose the incorrect statement below. m The turning point of this…

A: Quadratic graph

Q: 6+ 5- 4+ 3+ 1+ -8-7-6-5-4-3-2-11+ 3/4 5 6 78 -2+ -3-

A: To write the equation of parabola from the given graph, The standard equation of parabola is given…

Q: The base of a solid is the segment of the parabola y²=12x cut off by the latus rectum. A section of…

A: The base of a solid is the segment of the parabola y²=12x cut off by the latus rectum. A section of…

Q: 10. Does the graph open up or down? 10. 7. 6+ 5- 3 1. -2 -1 2. 3. 6. 7. 8. -1 -2 Your answer 11. Is…

A: Graph.

Q: Question Determine the equation of the parabola graphed below. 4 3. -7 -6 --5 -3 -2 -1 Provide your…

Q: 4 5 12 6 21 Identify the vertex of the parabola: Remember that the vertex is a point!

Q: 3. Write an example of a parabola that has been stretched vertically, translated horizontally and…

Q: Find a quadratic function that includes the set of values below (0,3). (2,13), (4,7) ...... The…

Q: a)/ Complete the square to find the vertex of the parabola y = 2x2 + 2x + 3. Enter your answer as a…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Using the graph, determine the coordinates of the x-intercepts of the parabola. 10 6. 17 4 -10 -9 -8…

A: The graph is shown in figure.

Q: Using the graph, determine the coordinates of the vertex of the parabola. 10 6. 4. 3 10 9 -2 "3 4 "5…

A: Solution :- vertex(h,k)

Q: Be sure to show the steps you used. What is an equation of a parabola with the given vertex and…

A: Equation of parabola in vertex form is y=a(x-h)2+k opens up or down where (h,k)=vertex and…

Q: Find an equation of a parabola that contains the given points. Use a graphing calculator to verify…

A: Let the equation of the parabola is, y=ax2+bx+c where a, b, and c are the arbitrary constant. it is…

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. h 3x (a)…

A: Given: The diagram shows a cuboid that is formed by bending a long wire of length 336 cm. To Find:…

Q: Which equation represents a parabola in vertex form with vertex (-5, 8) and directrix y-7? A y=*+5-8…

A: Given query is to find equation of parabola in vertex form.

Q: Farmer Jones, and his wife, Dr. Jones, both mathematicians, decide to build a fence in their field…

A: We have to find the area of the enclosed region.

Q: Refresh your mind! How do a, h, and k change our parabola? Play with the sliders to find out. y =…

A: Change the value of a =- 3.3

Q: Find the dimensions that give the largest area for the rectangle shown in the figure. Its base is on…

A: We need to find the dimensions that give the largest area for the rectangle. Draw the best possible…

Q: The graph of the parabola - ár is shown below. 43 This graph is symmetrical about which point or…

Q: y=-2(r-3)²–4 lot five points on the parabola: the vertex, utton.

A: given, Equation of a parabola. y = -2(x-3)2 - 4 General Equation of a parabola y = a (x-h)2+k where…

Concept explainers

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

Question

Using the graph, determine the coordinates of the vertex of the parabola.
10
9.
8
7.
6.
4
3
10
-9
-8
-4
-3
6
8.
1
3
4
10
-2
-3
-4
-5
-6
-8
-9
10
in
9.

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

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Parabolas$

Learn more about

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

Similar questions

Suppose a parabola has symmetry with respect to the line x = 3. If (8, 19) is a point of the graph, what is another point of the graph? Work:
Use analytic geometry to classify the quadrilateral with vertices J(-2,1), K(2, 3), L(4, -1), and N(O.-3). Explain your reasoning and show all your work
Suppose △ABC△ABC with coordinates A(2, 3) B(2, -1) and C(-3, -1) undergoes a dilation about the origin with a scale factor of k = -2. What are the coordinates of C'?
More Optimization A 6 ft piece of wire is cut into two pieces. One piece is bent into an equilateral triangle and the other will be bent into a rectangle with one side twice the length of the other side. Determine where, if anywhere, the wire should be cut to minimize the area enclosed by the two figures.
Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola. y = 7 − x2
Find the parabolically terminated cubic spline through the data points (0,1), (1,1), (2,1), (3,1), (4,1). I am unsure how to figure this out.. or what to do... how do you solve a problem like this.
. Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting Centerville to both towns. The idea is to save on the cost of cable by arranging the cable in a Y-shaped configuation. Centerville is located at (11,0)(11,0) in the ??xy-plane, Springfield is at (0,2)(0,2), and Shelbyville is at (0,−2)(0,−2). The cable runs from Centerville to some point (?,0)(x,0) on the ?x-axis where it splits into two branches going to Springfield and Shelbyville. Find the location (?,0)(x,0) that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your answer.