Question: The parabola y = -3(x - 2)^2 + 5 opens in which direction?
Options:
Upwards
Downwards
Left
Right
Correct Answer: Downwards
Solution:
Since the coefficient of (x - 2)^2 is negative, the parabola opens downwards.
The parabola y = -3(x - 2)^2 + 5 opens in which direction?
Practice Questions
Q1
The parabola y = -3(x - 2)^2 + 5 opens in which direction?
Upwards
Downwards
Left
Right
Questions & Step-by-Step Solutions
The parabola y = -3(x - 2)^2 + 5 opens in which direction?
Step 1: Identify the equation of the parabola, which is y = -3(x - 2)^2 + 5.
Step 2: Look at the coefficient of the squared term (x - 2)^2, which is -3.
Step 3: Determine if the coefficient is positive or negative. Here, -3 is negative.
Step 4: Understand that if the coefficient is negative, the parabola opens downwards.
Step 5: Conclude that the parabola y = -3(x - 2)^2 + 5 opens downwards.
Direction of Parabola Opening – The direction in which a parabola opens is determined by the sign of the coefficient in front of the squared term. A negative coefficient indicates the parabola opens downwards, while a positive coefficient indicates it opens upwards.
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