Graph the parabola and find its vertex and the axis of the parabola.y=x-2x +5The vertex is(Type an ordered pair.)The equation of the axis of the parabola is(Type an equation.)Use the graphing tool to graph the parabola.Click toenlargegraph

Given equation of parabola is y=x2-2x+5find vertex and axis of parabola

Answered: Graph the parabola and find its vertex…

Math

Calculus

Graph the parabola and find its vertex and the axis of the parabola. y =x- 2x + 5

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section8.3: Graphing F(x)=ax2+bx+c

Problem 31E

See similar textbooks

Related questions

Q: Graph the parabola y=(x^2-100x)/50

A: Graph the parabola y=(x^2-100x)/50

Q: Find the equation of the axis of symmetry of the following parabola using graphing technology. y =…

A: y=-3x2-18x-39 The graph is,

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: given equation: -x2=y2-25

Q: Find an equation of the parabola with vertex , −1−2 and focus , −5−2 .

A: Given information:The vertex of parabola is (1,2).The focus of parabola is (5,2)

Q: Find the coordinates of the vertex of the following parabola using graphing technology. Write your…

Q: The vertex of the parabola y = 5x? – 40x + 83

A: Given, y=5x2-40x+83We know that, The vertex of the parabola y=ax2+bx+c is given by…

Q: Graph the parabola. -2x+20x-y-47=0

A: -2x2+20x-y-47=0

Q: What is the vertex of the parabola (y - 1)2 = 16x?

Q: Find the equation of the axis of symmetry of the following parabola algebraically y = -x + 8x

Q: Write an equation for the parabola with a vertex at the origin and focus (5,0).

A: Since the vertex and focus are on the x-axis. So the standard form will be: Given that the vertex=…

Q: Graph the parabola: the vertex, two points to the left of the vertex, and two points to the right of…

Q: (r- 13) = 10 (y – 11)

A: Let us plot the above equation.

Q: Find the equation of the axis of symmetry of the following parabola using graphing technology. Y = y…

A: To find the axis of symmetry of the parabola. y = x2 - 32x + 48.

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

Q: Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the equation y =…

Q: Graph the parabola and find its vertex and the axis of the parabola y =x2 - 6x + 7

A: y=x2-6x+7

Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y– 1)² =-7(x+3) |

A: Given:- (y-1)2 =-7(x+3) To find:- Vertex, focus, Directrix, Axis of symmetry

Q: Graph the parabola, then label the vertex, axis, and intercepts. 1 x²+2x + 4 4 Y = -

Q: B. A: 2/34 Correct the parabola other than the vertex.

A: Explanation of the answer is as follows

Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+3)²=2(x-4)

A: Given, The parabola y+32=2x-4 We have to find vertex, focus, directrix and axis of symmetry of the…

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

Q: Determine the equation of the parabola graphed below. Enter your answer in vertex form. 4 3 1 -2 -1…

A: We can find the equation of parabola in vertex form as below

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: Given, 4x2 - 16x + 9y2 + 36y = -16 We have to identify the given conic equation.

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: the given equation is: x2+6x-y2=7 we have to identify the graph of the given equation as a parabola…

Q: Graph the parabola and label the vertex, axis and intercepts of Y=(-1)/4 x^2+2x+4

Q: Find the axis of symmetry and vertex for the parabola y=x^2-2x+3.

A: Topic-parabola

Q: Find the focus, the directrix, and the vertex of the parabola x^2 − x + 3y − 2 = 0

Q: Find the vertex, focus, directrix, and axis of symmetry of the parabola. (y+2)² = - 5(x-4)

Q: Determine the direction in which the parabola opens, and the vertex. y2-10y-x+23=0

A: Add x to both sides. So, this is a parabola of the form y=ax^2+bx+c with a=1=positive number. So…

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: Given that, y2=143-x2

Q: Graph the parabola. Label the vertex, axis, and intercepts in each case. y = x2 - 2x - 3

A: To find the vertex So vertex is (1,-4) And axis is x=1

Q: Graph the parabola. Label the vertex, axis, and intercepts in case. y = -x2 + 4x

Q: Graph the parabola with equation y = x2 + 4x - 5.

A: Given equation of parabola is : y=x2+4x-5

Q: Find an equation of the parabola with vertex , 1−4 and focus , 7−4 .

Q: Find the coordinates of the vertex of the following parabola using graphing technology. Write your…

A: Given parabola is - y = -x2 -8

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

Q: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y = x2 + 4x…

A: Solution is given below:

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

A: We will find out the required value.

Q: Find the equation of the parabola with the following data. F (-3, -2), V (-3, -5)

Q: Find an equation of the parabola that satisfies the following conditions Vertex V (-3,5), axis…

Q: Graph the parabola and give its vertex, axis of symmetry, x-intercepts, and y-intercept. y = x2 + 5x…

A: The solution are next step

Q: Find the equation of the axis of symmetry of the following parabola algebraically. 3x2 + 6x - 12 y =…

A: The equation of the parabola y=3x2+6x-12. We have to find the equation of the axis of symmetry for…

Q: Use the graph shown to answer:The equation of the parabola is of the form a. y2 = 4px b. x2 =…

A: We need to tell the given graph is the graph of which of the following function a. y2 = 4pxb. x2 =…

Q: e the vertex of the parabola whose equat

A: The given parabola is (y-9)2=-4(x-2)

Q: Find the coordinates of the vertex of the following parabola using graphing technology. Write your…

Q: Graph the parabola. Label the vertex, axis, and intercepts in case. y = 1/2 x2 + x + 4

Q: Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an…

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

Graph the parabola and find its vertex and the axis of the parabola.
y=x-2x +5
The vertex is
(Type an ordered pair.)
The equation of the axis of the parabola is
(Type an equation.)
Use the graphing tool to graph the parabola.
Click to
enlarge
graph

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

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, calculus and related others by exploring similar questions and additional content below.

Similar questions

Satellite antennas The cross section of the satellite antenna in the illustration is a parabola given by the equation y=116x2, with distance measured in feet. If the dish is 8feet wide, how deep it is?
Sonic boom The position of a sonic boom caused by the faster-than-sound aircraft is one branch of the hyperbola y2x2=25 in the coordinate system shown. How wide is the hyperbola 5 miles from its vertex?
The filament of a light bulb is a thin wire that glows when electricity passes through it. The filament of a car headlight is at the focus of a parabolic reflector, which sends light out in a straight beam. Given that the filament is 1.5 inches from the vertex, find an equation for the cross section of the reflector. The reflector is 7 inches wide. How deep is it? The filament of a light bulb is a thin wire that glows when electricity passes through it. The filament of a car headlight is at the focus of a parabolic reflector, which sends light out in a straight beam. Given that the filament is 1.5 inches from the vertex, find an equation for the cross section of the reflector. The reflector is 7 inches wide. How deep is it?
Architecture A church window is bounded above by a parabola and below by the arc of a circle (see figure). (a) Find equations for the parabola and the circle. (b) Complete the table by filling in the vertical distance d between the circle and the parabola for each given value of x.
The light bulb in a flashlight is at the focus of the parabolic reflector, 1.5 centimeters from the vertex of the reflector (see figure). Write an equation for a cross section of the flashlight’s reflector with its focus on the positive x-axis and its vertex at the origin.
Road Design Roads are often designed with parabolic surfaces to allow rain to drain off. A particular road is 32 feet wide and 0.4 foot higher in the center than it is on the sides (see figure). (a) Write an equation of the parabola with its vertex at the origin that models the road surface. (b) How far from the center of the road is the road surface 0.1 foot lower than the center?
Assume that an object tossed vertically upward reaches a height of h feet after t seconds, where h=100t16t2. Suspension bridges The cable of a suspension bridge is in the shape of the parabola x22500y+25,000=0 in the coordinate system shown in the illustration. Distances are in feet. How far above the roadway is the cables lowest point?
The receiver of a parabolic satellite dish is at the focus of the parabola (see figure). Write an equation for a cross section of the satellite dish.
Beam Deflection A simply supported beam (see figure) is 64 feet long and has a load at the center. The deflection of the beam at its center is 1 inch. The shape of the deflected beam is parabolic. (a) Write an equation of the parabola. (Assume that the origin is at the center of the beam.) (b) How far from the center of the beam is the deflection 12 inch?
DISCUSS WRITE: Parabolas in the Real World Several examples of the use of parabolas are given in the text. Find other situation in real life in which parabolas occur. Consult a scientific encyclopedia in the reference section of your library, or search the internet.
Window Design A church window is bounded above by a parabola (see figure). Write an equation of the parabola.
Design of a suspension bridge The cable between the tower of the suspension bridge shown in the illustration has the shape of a parabola with vertex 15feet above the roadway. Find an equation in standard form of the parabola.