3. Consider the parabola with equation y = -x² + 4x-5. a. What is the vertex? 2a c. What is the y-intercept? d. Write the parabola in vertex form (y= a(x - h)² + k) e. Is the vertex a maximum or minimum value? f. What is max/min value? b. What is the line of symmetry g. What is the domain? h.. the range

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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**3. Consider the parabola with the equation \( y = -x^2 + 4x - 5 \).**

a. What is the vertex?  
\( \left(\frac{-b}{2a}, y \right) \)  

b. What is the line of symmetry?  
_______________________________

c. What is the y-intercept?  
_______________________________

d. Write the parabola in vertex form  
\(( y = a(x-h)^2 + k )\)  
_______________________________

e. Is the vertex a maximum or minimum value?  
_______________________________

f. What is max/min value?  
_______________________________

g. What is the domain?  
_______________________________

h. the range  
_______________________________
Transcribed Image Text:**3. Consider the parabola with the equation \( y = -x^2 + 4x - 5 \).** a. What is the vertex? \( \left(\frac{-b}{2a}, y \right) \) b. What is the line of symmetry? _______________________________ c. What is the y-intercept? _______________________________ d. Write the parabola in vertex form \(( y = a(x-h)^2 + k )\) _______________________________ e. Is the vertex a maximum or minimum value? _______________________________ f. What is max/min value? _______________________________ g. What is the domain? _______________________________ h. the range _______________________________
Expert Solution
Step 1: Given the information

The given quadratic function y equals x squared plus 4 x minus 5.

The aim is to find,

(a) vertex of the graph,

(b) line of symmetry,

(c) y-intercept.

Note:

Since you have posted a question with multiple sub-parts, we will provide the solution only to the first three sub-parts as per our Q&A guidelines. Please repost the remaining sub-parts separately.

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