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What is the vertex of the parabola represented by the equation y = -2(x - 1)^2 +
What is the vertex of the parabola represented by the equation y = -2(x - 1)^2 + 4?
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Practice Questions
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Q1
What is the vertex of the parabola represented by the equation y = -2(x - 1)^2 + 4?
(1, 4)
(1, -4)
(-1, 4)
(-1, -4)
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The vertex form of a parabola is y = a(x - h)^2 + k. Here, h = 1 and k = 4, so the vertex is (1, 4).
Questions & Step-by-step Solutions
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Q
Q: What is the vertex of the parabola represented by the equation y = -2(x - 1)^2 + 4?
Solution:
The vertex form of a parabola is y = a(x - h)^2 + k. Here, h = 1 and k = 4, so the vertex is (1, 4).
Steps: 6
Show Steps
Step 1: Identify the equation of the parabola, which is y = -2(x - 1)^2 + 4.
Step 2: Recognize that this equation is in the vertex form of a parabola, which is y = a(x - h)^2 + k.
Step 3: In the vertex form, 'h' is the x-coordinate of the vertex and 'k' is the y-coordinate of the vertex.
Step 4: From the equation, we see that (x - 1) means h = 1.
Step 5: The constant term outside the squared part is +4, which means k = 4.
Step 6: Now, combine h and k to find the vertex, which is (h, k) = (1, 4).
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