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
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
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45af470c-961e-4874-a2a8-8817b29b0c5e%2F0c296de4-4300-4b02-ae04-febbad277fa5%2F1lvl8j_processed.jpeg&w=3840&q=75)
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.
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