1. A quadratic function is defined in vertex form based on the equation f(x)=- (x+ 4)² – 2. Based on this equation, answer the following questions and then create a graph for this function. a. What is the vertex? b. Will this parabola be concave up or concave down? c. What is the AOS? d. What is the y-intercept? e. What are the coordinates of the point that results when you reflect the y-intercept over the AOS. f. Bonus: What is the domain and range of this function? g. Create a graph!

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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1. A quadratic function is defined in vertex form based on the equation \( f(x) = -(x + 4)^2 - 2 \). Based on this equation, answer the following questions and then create a graph for this function.

   a. What is the vertex?

   b. Will this parabola be concave up or concave down?

   c. What is the AOS?

   d. What is the y-intercept?

   e. What are the coordinates of the point that results when you reflect the y-intercept over the AOS?

   f. Bonus: What is the domain and range of this function?

   g. Create a graph!

The provided graph is a coordinate plane with axes labeled from -10 to 10 on both x and y axes. The x-axis represents horizontal components and the y-axis represents vertical components. No points or curves are plotted initially.
Transcribed Image Text:1. A quadratic function is defined in vertex form based on the equation \( f(x) = -(x + 4)^2 - 2 \). Based on this equation, answer the following questions and then create a graph for this function. a. What is the vertex? b. Will this parabola be concave up or concave down? c. What is the AOS? d. What is the y-intercept? e. What are the coordinates of the point that results when you reflect the y-intercept over the AOS? f. Bonus: What is the domain and range of this function? g. Create a graph! The provided graph is a coordinate plane with axes labeled from -10 to 10 on both x and y axes. The x-axis represents horizontal components and the y-axis represents vertical components. No points or curves are plotted initially.
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