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The graph of the quadratic polynomial -x2 + x + 90 will open upwards.
- a)False
- b)True
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The graph of the quadratic polynomial -x2+ x + 90 will open upwards.a)...
The graph of the polynomial will have a downward opening since, a < 0
The graph for the same can be observed here,
The graph for the same can be observed here,
Most Upvoted Answer
The graph of the quadratic polynomial -x2+ x + 90 will open upwards.a)...
Understanding Quadratic Polynomials
A quadratic polynomial is generally expressed in the form:
- **\( ax^2 + bx + c \)**
Here, \( a \), \( b \), and \( c \) are constants, and \( x \) is the variable.
Coefficient of \( x^2 \)
The direction in which the parabola opens is determined by the coefficient \( a \):
- **If \( a > 0 \)**, the parabola opens **upwards**.
- **If \( a < 0="" \)**,="" the="" parabola="" opens="" />
Analysis of the Given Polynomial
The given quadratic polynomial is:
- **\(-x^2 + x + 90\)**
In this polynomial:
- \( a = -1 \) (the coefficient of \( x^2 \))
- \( b = 1 \) (the coefficient of \( x \))
- \( c = 90 \) (the constant term)
Determining the Direction of the Parabola
Since the coefficient \( a \) is **-1** (which is less than 0):
- The parabola opens **downwards**.
Conclusion
Therefore, the statement that the graph of the quadratic polynomial \(-x^2 + x + 90\) will open upwards is:
- **a) False**
This means the correct answer is option **A**.
Understanding the behavior of quadratic polynomials is crucial for solving and graphing them accurately!
A quadratic polynomial is generally expressed in the form:
- **\( ax^2 + bx + c \)**
Here, \( a \), \( b \), and \( c \) are constants, and \( x \) is the variable.
Coefficient of \( x^2 \)
The direction in which the parabola opens is determined by the coefficient \( a \):
- **If \( a > 0 \)**, the parabola opens **upwards**.
- **If \( a < 0="" \)**,="" the="" parabola="" opens="" />
Analysis of the Given Polynomial
The given quadratic polynomial is:
- **\(-x^2 + x + 90\)**
In this polynomial:
- \( a = -1 \) (the coefficient of \( x^2 \))
- \( b = 1 \) (the coefficient of \( x \))
- \( c = 90 \) (the constant term)
Determining the Direction of the Parabola
Since the coefficient \( a \) is **-1** (which is less than 0):
- The parabola opens **downwards**.
Conclusion
Therefore, the statement that the graph of the quadratic polynomial \(-x^2 + x + 90\) will open upwards is:
- **a) False**
This means the correct answer is option **A**.
Understanding the behavior of quadratic polynomials is crucial for solving and graphing them accurately!
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The graph of the quadratic polynomial -x2+ x + 90 will open upwards.a)Falseb)TrueCorrect answer is option 'A'. Can you explain this answer?
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The graph of the quadratic polynomial -x2+ x + 90 will open upwards.a)Falseb)TrueCorrect answer is option 'A'. Can you explain this answer? for Grade 10 2025 is part of Grade 10 preparation. The Question and answers have been prepared according to the Grade 10 exam syllabus. Information about The graph of the quadratic polynomial -x2+ x + 90 will open upwards.a)Falseb)TrueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Grade 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The graph of the quadratic polynomial -x2+ x + 90 will open upwards.a)Falseb)TrueCorrect answer is option 'A'. Can you explain this answer?.
The graph of the quadratic polynomial -x2+ x + 90 will open upwards.a)Falseb)TrueCorrect answer is option 'A'. Can you explain this answer? for Grade 10 2025 is part of Grade 10 preparation. The Question and answers have been prepared according to the Grade 10 exam syllabus. Information about The graph of the quadratic polynomial -x2+ x + 90 will open upwards.a)Falseb)TrueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Grade 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The graph of the quadratic polynomial -x2+ x + 90 will open upwards.a)Falseb)TrueCorrect answer is option 'A'. Can you explain this answer?.
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