A quadratic function has a y -intercept of -3 and X -intercepts of 3 and -. -3. If the vertex and the y -intercept are the same point, find the standard form of the quadratic function f (x) = a(x – h) + k as following: What numbers represents the values of h and k in the standard form of the quadratic function?

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,...
Question
A quadratic function has a \( y \)-intercept of \(-3\) and \( x \)-intercepts of \(3\) and \(-3\). If the vertex and the \( y \)-intercept are the same point, find the standard form of the quadratic function \( f(x) = a(x-h)^2 + k \) as follows:

What numbers represent the values of \( h \) and \( k \) in the standard form of the quadratic function?

\( h = \)  
[Input Box]

\( k = \)  
[Input Box]
Transcribed Image Text:A quadratic function has a \( y \)-intercept of \(-3\) and \( x \)-intercepts of \(3\) and \(-3\). If the vertex and the \( y \)-intercept are the same point, find the standard form of the quadratic function \( f(x) = a(x-h)^2 + k \) as follows: What numbers represent the values of \( h \) and \( k \) in the standard form of the quadratic function? \( h = \) [Input Box] \( k = \) [Input Box]
Next, use the vertex and one of the other points provided to find the value of the leading coefficient \( a \) in the function \( f(x) = a(x-h)^2 + k \).

\[ a = \]
Transcribed Image Text:Next, use the vertex and one of the other points provided to find the value of the leading coefficient \( a \) in the function \( f(x) = a(x-h)^2 + k \). \[ a = \]
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