Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
Bartleby Related Questions Icon

Related questions

Question

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 + b + c =

a + b + c =

a + b + c =

Step 2. Find the equation y= 1x2 + -10 x + 24

Given the Graph of the Parabola

**Graph Description:**
The graph is a parabola opening upwards. It is plotted on a coordinate grid, with labeled x and y axes. The vertex appears to be around (5, 0), and the curve crosses the y-axis at y = -6.

**Instructions:**

1. **Video Reference:**
   - Watch the video: [YouTube Video](https://www.youtube.com/watch?v=DYzBJ21tvlo&feature=youtu.be)

2. **Additional Example:**
   - Review the example of a similar problem posted on the blackboard.

3. **Task:**
   - Find the equation of the parabola by using three points: (4,0), (2,8), and (6,0).

4. **Steps:**

   - **Step 1:** Write the system of equations:
     \[
     \begin{align*}
     4(a) + & \quad b + \quad c = \\
     2(a) + & \quad b + \quad c = \\
     6(a) + & \quad b + \quad c = \\
     \end{align*}
     \]

   - **Step 2:** Find the equation \( y = ax^2 + bx + c \).
   
     - Fill the equation: \( y = 1x^2 + (-10)x + 24 \).

Complete the transcription in a similar manner on the educational website for students to follow along.
expand button
Transcribed Image Text:Given the Graph of the Parabola **Graph Description:** The graph is a parabola opening upwards. It is plotted on a coordinate grid, with labeled x and y axes. The vertex appears to be around (5, 0), and the curve crosses the y-axis at y = -6. **Instructions:** 1. **Video Reference:** - Watch the video: [YouTube Video](https://www.youtube.com/watch?v=DYzBJ21tvlo&feature=youtu.be) 2. **Additional Example:** - Review the example of a similar problem posted on the blackboard. 3. **Task:** - Find the equation of the parabola by using three points: (4,0), (2,8), and (6,0). 4. **Steps:** - **Step 1:** Write the system of equations: \[ \begin{align*} 4(a) + & \quad b + \quad c = \\ 2(a) + & \quad b + \quad c = \\ 6(a) + & \quad b + \quad c = \\ \end{align*} \] - **Step 2:** Find the equation \( y = ax^2 + bx + c \). - Fill the equation: \( y = 1x^2 + (-10)x + 24 \). Complete the transcription in a similar manner on the educational website for students to follow along.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Text book image
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Text book image
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Text book image
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
Text book image
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education