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Determine the y-intercept of the parabola whose graph is given below. -7-6-5-4-3- 2 -f 7 7 7 7 i i 5 6 7

Determine the y-intercept of the parabola whose graph is given below. -7-6-5-4-3- 2 -f 7 7 7 7 i i 5 6 7

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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As a ordered pair 

**Determine the \( y \)-intercept of the parabola whose graph is given below.** The graph illustrates a downward-opening parabola on the Cartesian coordinate system. The coordinate grid is marked with increments of 1 on both the \( x \)-axis (horizontal) and \( y \)-axis (vertical), ranging from -7 to 7. ### Key Features of the Graph: - **Vertex:** The highest point of the parabola is at approximately \((-1, 3)\). - **Symmetry:** The parabola is symmetrical about the vertical line \( x = -1 \). - **Intercepts:** - **\( y \)-intercept:** The point where the parabola crosses the \( y \)-axis is at \((0, 2)\). - **\( x \)-intercepts:** These are estimated to be between \(-4\) and \(-3\), and between \(2\) and \(3\) but are not precise on this graph. The \( y \)-intercept is a crucial value and can be observed directly from where the graph intersects the \( y \)-axis. Here, this intersection occurs at \( y = 2 \).
Transcribed Image Text:**Determine the \( y \)-intercept of the parabola whose graph is given below.** The graph illustrates a downward-opening parabola on the Cartesian coordinate system. The coordinate grid is marked with increments of 1 on both the \( x \)-axis (horizontal) and \( y \)-axis (vertical), ranging from -7 to 7. ### Key Features of the Graph: - **Vertex:** The highest point of the parabola is at approximately \((-1, 3)\). - **Symmetry:** The parabola is symmetrical about the vertical line \( x = -1 \). - **Intercepts:** - **\( y \)-intercept:** The point where the parabola crosses the \( y \)-axis is at \((0, 2)\). - **\( x \)-intercepts:** These are estimated to be between \(-4\) and \(-3\), and between \(2\) and \(3\) but are not precise on this graph. The \( y \)-intercept is a crucial value and can be observed directly from where the graph intersects the \( y \)-axis. Here, this intersection occurs at \( y = 2 \).
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