For the parabola y = -2(x - 4)^2 + 7, what is the x-coordinate of the vertex?

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Study for the Algebra 1 Honors End-of-Course Test. Study with flashcards and multiple-choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

For the parabola y = -2(x - 4)^2 + 7, what is the x-coordinate of the vertex?

Explanation:
The x-coordinate of the vertex comes from the horizontal shift in vertex form y = a(x − h)² + k. Here the expression is y = −2(x − 4)² + 7, so the shift is by h = 4. That means the vertex is at (4, 7), and the x-coordinate is 4. The parabola opens downward because a is negative, but that doesn’t change the x-coordinate of the vertex. The other numbers would correspond to different shifts (0, −4, or 2), not the given shift of 4.

The x-coordinate of the vertex comes from the horizontal shift in vertex form y = a(x − h)² + k. Here the expression is y = −2(x − 4)² + 7, so the shift is by h = 4. That means the vertex is at (4, 7), and the x-coordinate is 4. The parabola opens downward because a is negative, but that doesn’t change the x-coordinate of the vertex. The other numbers would correspond to different shifts (0, −4, or 2), not the given shift of 4.

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