I'm not sure how to factor this The image contains a mathematical function written as:\[ F(x) = 12x^2 + 48x - 96 \]This function is a quadratic expression, which is a polynomial of degree 2. The standard form of a quadratic equation is \( ax^2 + bx + c \), where \( a \), \( b \), and \( c \) are constants. In this expression:- \( a = 12 \)- \( b = 48 \)- \( c = -96 \)The graph of this function would be a parabola. Since the coefficient of \( x^2 \) (the term \( a \)) is positive, the parabola will open upwards.### Key Features:- **Vertex**: The vertex of the parabola can be found using the formula for the x-coordinate: \( x = -\frac{b}{2a} \). The y-coordinate can be found by substituting this x-value back into the function.- **Axis of Symmetry**: The vertical line that passes through the vertex, given by \( x = -\frac{b}{2a} \).- **Roots**: Solving the equation \( 12x^2 + 48x - 96 = 0 \) will give the x-intercepts (if they exist), known as the roots of the equation.- **Y-Intercept**: The point where the graph intersects the y-axis, found by evaluating \( F(0) \), which gives the constant term \( c = -96 \).Understanding the characteristics of this function can provide insights into its behavior and graphical representation.

Answered: Image /qna-images/answer/475ae9ec-d110-4dd8-9715-0a92ccc2a1b3.jpg

Answered: F(X)= 12x +48X-96

Math

Algebra

F(X)= 12x +48X-96

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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