Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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Chapter 10.4, Problem 9MCQ
To determine

To find: The given equation in the standard form and the vertex, axis of symmetry, and the direction of opening of the parabola.

Expert Solution & Answer
Check Mark

Answer to Problem 9MCQ

The given equation in the standard form is x=3(y−56)2−1332 , the coordinate of the vertex is (−1332,56) , the axis of symmetry is y=56 , and the direction of opening of the parabola is right.

Explanation of Solution

Given information:

The equation of the parabola is,

  x=3y2+5y−9

Concept used:

Write the standard form of the equation of the parabola,

  x=a(y−k)2+h

The direction of opening,

  right, a>0left, a<0

The coordinate of the vertex is (h,k) , the coordinate of focus is (h+14a,k) , and the length of latus rectum is |1a| .

The equation of directrix is,

  x=h−14a

The axis of symmetry is,

  y=k

Write the standard form of the equation of the parabola,

  x=3y2+5y−9x=3(y2+53y+2536)−2512−9x=3(y−56)2−1332

The direction of opening is,

  a=3>0, right

The coordinate of the vertex is (−1332,56) .

The axis of symmetry is,

  y=ky=56

Thus, the given equation in the standard form is x=3(y−56)2−1332 , the coordinate of the vertex is (−1332,56) , the axis of symmetry is y=56 , and the direction of opening of the parabola is right.

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Chapter 10.4, Problem 8MCQ
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Chapter 10.4, Problem 10MCQ

Chapter 10 Solutions

Algebra 2

Ch. 10.1 - Prob. 1ACYPCh. 10.1 - Prob. 1BCYPCh. 10.1 - Prob. 2CYPCh. 10.1 - Prob. 3CYPCh. 10.1 - Prob. 1CYUCh. 10.1 - Prob. 2CYUCh. 10.1 - Prob. 3CYUCh. 10.1 - Prob. 4CYUCh. 10.1 - Prob. 5CYUCh. 10.1 - Prob. 6CYU
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Points, Lines, Planes, Segments, & Rays - Collinear vs Coplanar Points - Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=dDWjhRfBsKM;License: Standard YouTube License, CC-BY
Naming Points, Lines, and Planes; Author: Florida PASS Program;https://www.youtube.com/watch?v=F-LxiLSSaLg;License: Standard YouTube License, CC-BY