Hardy Bond
03/06/2024 · Junior High School
Question 1 Does \( f(x)=3+5 x-6 x^{2} \) open upward or downward? A) upward B downward
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Step-by-step Solution
To determine whether the quadratic function \( f(x) = 3 + 5x - 6x^2 \) opens upward or downward, we can look at the coefficient of the \( x^2 \) term.
In the function \( f(x) = -6x^2 + 5x + 3 \), the coefficient of \( x^2 \) is \(-6\).
- If the coefficient of \( x^2 \) is positive, the parabola opens upward.
- If the coefficient of \( x^2 \) is negative, the parabola opens downward.
Since \(-6\) is negative, the parabola opens downward.
The answer is:
B) downward
Quick Answer
The parabola opens downward.
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