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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?
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Questions & Step-by-Step Solutions
The parabola y = -3(x - 2)^2 + 5 opens in which direction?
Steps
Concepts
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.
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