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Put the function y = 3x² + 12x + 3 in vertex form and state the values of a, h and k. Vertex Form a= h = k = - ‒‒ Q Search 4 ha

Put the function y = 3x² + 12x + 3 in vertex form and state the values of a, h and k. Vertex Form a= h = k = - ‒‒ Q Search 4 ha

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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**Convert the Quadratic Function to Vertex Form** **Task:** Transform the quadratic function \( y = 3x^2 + 12x + 3 \) into its vertex form. Then determine and state the values of \( a \), \( h \), and \( k \). **Inputs:** - **Vertex Form:** \( \boxed{} \) - **Coefficients:** - \( a = \boxed{} \) - \( h = \boxed{} \) - \( k = \boxed{} \) **Instructions:** To convert the quadratic expression to the vertex form \( y = a(x - h)^2 + k \): 1. **Identify the coefficient \( a \):** This is the coefficient of \( x^2 \) in the standard form. 2. **Complete the square** for the expression in the standard form to find \( h \) and \( k \). 3. **Write** down the expression in the vertex form. Note: The process involves rearranging the equation and sometimes factoring or adding and subtracting constants strategically to complete the square.
Transcribed Image Text:**Convert the Quadratic Function to Vertex Form** **Task:** Transform the quadratic function \( y = 3x^2 + 12x + 3 \) into its vertex form. Then determine and state the values of \( a \), \( h \), and \( k \). **Inputs:** - **Vertex Form:** \( \boxed{} \) - **Coefficients:** - \( a = \boxed{} \) - \( h = \boxed{} \) - \( k = \boxed{} \) **Instructions:** To convert the quadratic expression to the vertex form \( y = a(x - h)^2 + k \): 1. **Identify the coefficient \( a \):** This is the coefficient of \( x^2 \) in the standard form. 2. **Complete the square** for the expression in the standard form to find \( h \) and \( k \). 3. **Write** down the expression in the vertex form. Note: The process involves rearranging the equation and sometimes factoring or adding and subtracting constants strategically to complete the square.
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