The image presents a graph of a quadratic function $ f $.### Description of the GraphThe graph displays a red parabola opening upwards. It intersects the y-axis above the origin and crosses the x-axis at two points, indicating its x-intercepts. The axes are labeled, with the x-axis ranging from -10 to 10 and the y-axis from -15 to 15.### Task Instructions#### (a) Find the x-intercepts.- The x-intercepts are the points where the graph crosses the x-axis.- To find the x-intercepts, fill in the blanks with the coordinates of the points as follows: $ (x, y) = (\_\_\_, 0) $ (smaller x-value) $ (x, y) = (\_\_\_, 0) $ (larger x-value)#### (b) Find an equation that represents the function $ f $ (as in Example 3).- Determine the equation of the quadratic function and fill in the blank: $ f(x) = \_\_\_\_ $### Graph InterpretationThe graph’s shape and the intersection points provide the necessary information for determining the intercepts and for constructing the quadratic equation by identifying key features such as the vertex, axis of symmetry, and intercepts.

Name: The image presents a graph of a quadratic function $ f $.### Descri
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Description: The image presents a graph of a quadratic function $ f $.### Description of the GraphThe graph displays a red parabola opening upwards. It intersects the y-axis above the origin and crosses the x-axis at two points, indicating its x-intercepts. Th

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Math

Calculus

A graph of a quadratic function f is given. y 15 10 - 10 -5 5 10 -5 - 10 - 15 (a) Find the x-intercepts. (x, y) = ( X (smaller x-value) (х, у) 3 (larger x-value) (b) Find an equation that represents the function f (as in Example 3). f(x) =

A graph of a quadratic function f is given. y 15 10 - 10 -5 5 10 -5 - 10 - 15 (a) Find the x-intercepts. (x, y) = ( X (smaller x-value) (х, у) 3 (larger x-value) (b) Find an equation that represents the function f (as in Example 3). f(x) =

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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Topic Video

Question

The image presents a graph of a quadratic function $ f $.

### Description of the Graph
The graph displays a red parabola opening upwards. It intersects the y-axis above the origin and crosses the x-axis at two points, indicating its x-intercepts. The axes are labeled, with the x-axis ranging from -10 to 10 and the y-axis from -15 to 15.

### Task Instructions

#### (a) Find the x-intercepts.
- The x-intercepts are the points where the graph crosses the x-axis.
- To find the x-intercepts, fill in the blanks with the coordinates of the points as follows:

$ (x, y) = (\_\_\_, 0) $ (smaller x-value)

$ (x, y) = (\_\_\_, 0) $ (larger x-value)

#### (b) Find an equation that represents the function $ f $ (as in Example 3).
- Determine the equation of the quadratic function and fill in the blank:

$ f(x) = \_\_\_\_ $

### Graph Interpretation
The graph’s shape and the intersection points provide the necessary information for determining the intercepts and for constructing the quadratic equation by identifying key features such as the vertex, axis of symmetry, and intercepts.

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