Graph the parabola then answer the questions about the vertex, any intercepts, the domain, and range. Enter intercepts as ordered pairs (points). y = r – 8x + 15 x
Graph the parabola then answer the questions about the vertex, any intercepts, the domain, and range. Enter intercepts as ordered pairs (points). y = r – 8x + 15 x
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.2: Writing Equations In Standard And Point-slope Forms
Problem 48PFA
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Question
![### Graphing Parabolas: Intercepts, Vertex, Domain, and Range
**Instructions:**
Graph the parabola, then answer the questions about the vertex, any intercepts, the domain, and range. Enter intercepts as ordered pairs (points).
**Equation:**
\[ y = x^2 - 8x + 15 \]
**Graph:**
A coordinate grid is provided, ranging from -10 to 10 on both the x-axis and y-axis.
**Drawing Tools:**
- Line
- Parabola
- Various other shapes for graphing
**Questions to Answer:**
1. **Vertex:** The highest or lowest point of the parabola.
2. **y-intercept:** The point where the parabola crosses the y-axis.
3. **x-intercepts:** The points where the parabola crosses the x-axis.
4. **Domain:** The set of all possible x-values for the function.
5. **Range:** The set of all possible y-values for the function.
6. **Equation of the Axis of Symmetry:** The vertical line that divides the parabola into two mirror-image halves.
**Form Fields:**
- Vertex = [Blank field for input]
- y-intercept = [Blank field for input]
- x-intercepts = [Blank field for input]
- Domain = [Blank field for input]
- Range = [Blank field for input]
- Equation of the Axis of Symmetry = [Blank field for input]
Use the provided graph and tools to draw the parabola, then fill in the respective form fields. Once completed, submit your answers.
**Submit Button:**
- "Submit and End" button is available to finalize the entries.
This exercise is designed to help students understand and apply concepts related to graphing quadratic functions and identifying key features of parabolas.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04ddd72f-30f0-437a-bf8b-c24526128137%2Fbb387df2-c421-4465-a415-bf5432b1fedb%2F2a0req_processed.png&w=3840&q=75)
Transcribed Image Text:### Graphing Parabolas: Intercepts, Vertex, Domain, and Range
**Instructions:**
Graph the parabola, then answer the questions about the vertex, any intercepts, the domain, and range. Enter intercepts as ordered pairs (points).
**Equation:**
\[ y = x^2 - 8x + 15 \]
**Graph:**
A coordinate grid is provided, ranging from -10 to 10 on both the x-axis and y-axis.
**Drawing Tools:**
- Line
- Parabola
- Various other shapes for graphing
**Questions to Answer:**
1. **Vertex:** The highest or lowest point of the parabola.
2. **y-intercept:** The point where the parabola crosses the y-axis.
3. **x-intercepts:** The points where the parabola crosses the x-axis.
4. **Domain:** The set of all possible x-values for the function.
5. **Range:** The set of all possible y-values for the function.
6. **Equation of the Axis of Symmetry:** The vertical line that divides the parabola into two mirror-image halves.
**Form Fields:**
- Vertex = [Blank field for input]
- y-intercept = [Blank field for input]
- x-intercepts = [Blank field for input]
- Domain = [Blank field for input]
- Range = [Blank field for input]
- Equation of the Axis of Symmetry = [Blank field for input]
Use the provided graph and tools to draw the parabola, then fill in the respective form fields. Once completed, submit your answers.
**Submit Button:**
- "Submit and End" button is available to finalize the entries.
This exercise is designed to help students understand and apply concepts related to graphing quadratic functions and identifying key features of parabolas.
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