Find the equation of the parabola by using three points (4,0), (2,8), and (6,0).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 41E
icon
Related questions
Question

Given the graph of the parabola

Given the graph of the parabola
y
-4--2
6
4
2
-2
6
X
Find the equation of the parabola by using three points (4,0), (2,8), and (6,0).
Step 1. Write the system on equations:
a +
a +
a +
Step 2. Find the equation y=
b +
+
b +
x² +
U
||
C =
C =
x +
113
Transcribed Image Text:Given the graph of the parabola y -4--2 6 4 2 -2 6 X Find the equation of the parabola by using three points (4,0), (2,8), and (6,0). Step 1. Write the system on equations: a + a + a + Step 2. Find the equation y= b + + b + x² + U || C = C = x + 113
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University