The graph of the function [tex]f\left( x \right)=- \left( {x + 3} \right)\left( {x + 1} \right)[/tex] is attached below. Graph (b) is correct.
Further explanation:
Given:
The function is [tex]f\left( x \right) = - \left( {x + 3} \right)\left( {x + 1} \right).[/tex]
Explanation:
The given function is [tex]f\left( x \right) = - \left( {x + 3} \right)\left( {x + 1} \right)[/tex].
The graph of the function represents downward parabola as the function has negative sign.
Solve the function to obtain the zeroes.
[tex]\begin{aligned}f\left( x \right)&= - \left( {x + 3} \right)\left( {x + 1} \right)\\0&= - \left( {x + 3} \right)\left( {x + 1} \right)\\0&= \left( {x + 3} \right){\text{or }}\left( {x + 1} \right) &= 0\\x &= - 3\;{\text{or}}\;x\;&= 0\\\end{aligned}[/tex]
The zeroes of the function are [tex]-3[/tex] and [tex]-1[/tex].
In graph 2 the zeros are [tex]-3[/tex] and [tex]-1[/tex].
The graph of the function [tex]f\left( x \right) = - \left( {x + 3} \right)\left( {x + 1} \right)[/tex] is attached below. Graph (b) is correct.
Graph (a) doesn’t represent the graph of the function.
Graph (b) represents the graph of the function.
Graph (c) doesn’t represent the graph of the function.
Graph (d) doesn’t represent the graph of the function.
Learn more:
- Learn more about inverse of the function https://brainly.com/question/1632445.
- Learn more about equation of circle brainly.com/question/1506955.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Polynomials
Keywords: quadratic equation, equation factorization. Factorized form, polynomial, quadratic formula, zeroes, Fundamental Theorem of algebra, polynomial.
