**Graph Analysis on X-Intercepts and Y-Intercepts** **Problem Statement:** The graph of a function is given below. Identify all **x-intercepts** and **y-intercepts** shown. **Graph Description:** The graph displayed is a parabola opening upwards. It is plotted on a coordinate grid with x-axis marked at -4, -2, 0, 2, and 4, and y-axis marked at -4, -2, 0, 2, and 4 as well. - The parabola is centered around the y-axis. - The vertex of the parabola appears to be at the origin (0, 0). - The curve intersects the y-axis at this point, meaning the **y-intercept** is at (0, 0). **Intercept Information:** - **X-Intercepts**: There are no x-intercepts shown explicitly as the parabola does not intersect the x-axis at any other points besides the vertex at the origin. - **Y-Intercepts**: (0, 0), as the curve passes through the origin. **Instruction for Answering:** If there is more than one answer, separate them with commas. Click on "None" if there are no intercepts applicable for x or y. **Answer Boxes:** (a) **x-intercept(s):** (b) **y-intercept(s):** **Options:** - Explanation - Check The interface includes options to input your answers and verify them with "Check." Use the "Explanation" button for further clarification on the topic.
**Graph Analysis on X-Intercepts and Y-Intercepts** **Problem Statement:** The graph of a function is given below. Identify all **x-intercepts** and **y-intercepts** shown. **Graph Description:** The graph displayed is a parabola opening upwards. It is plotted on a coordinate grid with x-axis marked at -4, -2, 0, 2, and 4, and y-axis marked at -4, -2, 0, 2, and 4 as well. - The parabola is centered around the y-axis. - The vertex of the parabola appears to be at the origin (0, 0). - The curve intersects the y-axis at this point, meaning the **y-intercept** is at (0, 0). **Intercept Information:** - **X-Intercepts**: There are no x-intercepts shown explicitly as the parabola does not intersect the x-axis at any other points besides the vertex at the origin. - **Y-Intercepts**: (0, 0), as the curve passes through the origin. **Instruction for Answering:** If there is more than one answer, separate them with commas. Click on "None" if there are no intercepts applicable for x or y. **Answer Boxes:** (a) **x-intercept(s):** (b) **y-intercept(s):** **Options:** - Explanation - Check The interface includes options to input your answers and verify them with "Check." Use the "Explanation" button for further clarification on the topic.
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
Transcribed Image Text:**Graph Analysis on X-Intercepts and Y-Intercepts**
**Problem Statement:**
The graph of a function is given below. Identify all **x-intercepts** and **y-intercepts** shown.
**Graph Description:**
The graph displayed is a parabola opening upwards. It is plotted on a coordinate grid with x-axis marked at -4, -2, 0, 2, and 4, and y-axis marked at -4, -2, 0, 2, and 4 as well.
- The parabola is centered around the y-axis.
- The vertex of the parabola appears to be at the origin (0, 0).
- The curve intersects the y-axis at this point, meaning the **y-intercept** is at (0, 0).
**Intercept Information:**
- **X-Intercepts**: There are no x-intercepts shown explicitly as the parabola does not intersect the x-axis at any other points besides the vertex at the origin.
- **Y-Intercepts**: (0, 0), as the curve passes through the origin.
**Instruction for Answering:**
If there is more than one answer, separate them with commas. Click on "None" if there are no intercepts applicable for x or y.
**Answer Boxes:**
(a) **x-intercept(s):**
(b) **y-intercept(s):**
**Options:**
- Explanation
- Check
The interface includes options to input your answers and verify them with "Check." Use the "Explanation" button for further clarification on the topic.
Expert Solution
Step 1
a)The given diagram is the figure of a parabola.
The x-intercepts are points at which the parabola crosses the x-axis. If they exist they represent the zeroes or roots of the quadratic function. it is the values of x at which y=0
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