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The graph of the quadratic polynomial -x+ 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,
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Most Upvoted Answer
The graph of the quadratic polynomial -x2+ x + 90 will open upwards.a)...
The quadratic polynomial -x^2 + x + 90 will open upwards.

Explanation:


To determine whether the graph of a quadratic polynomial opens upwards or downwards, we can examine the leading coefficient of the polynomial.

The general form of a quadratic polynomial is given by: ax^2 + bx + c

In this case, the polynomial is -x^2 + x + 90.

Leading Coefficient

The leading coefficient is the coefficient of the highest power of x, which is the coefficient of x^2. In this case, the leading coefficient is -1.

Sign of Leading Coefficient

If the leading coefficient is positive (greater than 0), then the graph of the quadratic polynomial opens upwards.
If the leading coefficient is negative (less than 0), then the graph of the quadratic polynomial opens downwards.

Analysis

In this case, the leading coefficient is -1, which is negative. Therefore, the graph of the quadratic polynomial -x^2 + x + 90 opens downwards, not upwards.

Conclusion

The statement "The graph of the quadratic polynomial -x^2 + x + 90 will open upwards" is false.
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Community 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,
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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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