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Identify the key features of the quadratic function below. f(x)=x²-2x-8 vertex: ( Axis of Symmetry: x = y-intercept (only include the y-coordinate of the intercept): x-intercepts (only include the x-coordinates of the intercept): and

Identify the key features of the quadratic function below. f(x)=x²-2x-8 vertex: ( Axis of Symmetry: x = y-intercept (only include the y-coordinate of the intercept): x-intercepts (only include the x-coordinates of the intercept): and

Algebra and Trigonometry (6th Edition)
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 1** Identify the key features of the quadratic function below. \( f(x) = x^2 - 2x - 8 \) - **Vertex:** \(( \underline{\hspace{3cm}}, \underline{\hspace{3cm}} )\) - **Axis of Symmetry:** \(x = \underline{\hspace{3cm}}\) - **y-intercept (only include the y-coordinate of the intercept):** \(\underline{\hspace{3cm}}\) - **x-intercepts (only include the x-coordinates of the intercept):** \(\underline{\hspace{3cm}}\) and \(\underline{\hspace{3cm}}\) **Blanks:** - Blank 1: - Blank 2: - Blank 3: - Blank 4: - Blank 5: - Blank 6:
Transcribed Image Text:**Question 1** Identify the key features of the quadratic function below. \( f(x) = x^2 - 2x - 8 \) - **Vertex:** \(( \underline{\hspace{3cm}}, \underline{\hspace{3cm}} )\) - **Axis of Symmetry:** \(x = \underline{\hspace{3cm}}\) - **y-intercept (only include the y-coordinate of the intercept):** \(\underline{\hspace{3cm}}\) - **x-intercepts (only include the x-coordinates of the intercept):** \(\underline{\hspace{3cm}}\) and \(\underline{\hspace{3cm}}\) **Blanks:** - Blank 1: - Blank 2: - Blank 3: - Blank 4: - Blank 5: - Blank 6:
Expert Solution
Step 1

The given quadratic equation is

                       f(x)=x2-2x-8

Clearly this is an equation of parabola.

Let,     y=f(x)    then we get

                y=x2-2x-8        ..................(1)

Now, simplify above 

              y=x2-2×1×x+1-9y=(x-1)2-9 y+9 = (x-1)2

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