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y = x2 − a
In the equation above, a is a positive constant and the graph of the equation in the xy‑plane is a parabola. Which of the following is an equivalent form of the equation?
In the equation above, a is a positive constant and the graph of the equation in the xy‑plane is a parabola. Which of the following is an equivalent form of the equation?
- a)y = (x + a)(x − a)
- b)y = (x + √a)(x − √a)
- c)
- d)y = (x + a)2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
y = x2 − aIn the equation above, a is a positive constant and th...
The given equation can be thought of as the difference of two squares, where one square is x2 and the other square is (√a)2 . Using the difference of squares formula, the equation can be rewritten as y = (x + √a)(x − √a)
Choices A, C, and D are incorrect because they are not equivalent to the given equation. Choice A is incorrect because it is equivalent to y = x2 − a2. Choice C is incorrect because it is equivalent to
Choice D is incorrect because it is equivalent to y = x2 + 2ax + a2.
Choices A, C, and D are incorrect because they are not equivalent to the given equation. Choice A is incorrect because it is equivalent to y = x2 − a2. Choice C is incorrect because it is equivalent to
Choice D is incorrect because it is equivalent to y = x2 + 2ax + a2.Most Upvoted Answer
y = x2 − aIn the equation above, a is a positive constant and th...
The given equation can be thought of as the difference of two squares, where one square is x2 and the other square is (√a)2 . Using the difference of squares formula, the equation can be rewritten as y = (x + √a)(x − √a)
Choices A, C, and D are incorrect because they are not equivalent to the given equation. Choice A is incorrect because it is equivalent to y = x2 − a2. Choice C is incorrect because it is equivalent to Choice D is incorrect because it is equivalent to y = x2 + 2ax + a2.
Choices A, C, and D are incorrect because they are not equivalent to the given equation. Choice A is incorrect because it is equivalent to y = x2 − a2. Choice C is incorrect because it is equivalent to
Choice D is incorrect because it is equivalent to y = x2 + 2ax + a2.
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y = x2 − aIn the equation above, a is a positive constant and the graph of the equation in the xyplane is a parabola. Which of the following is an equivalent form of the equation?a)y = (x + a)(x − a)b)y = (x + √a)(x − √a)c)d)y = (x + a)2Correct answer is option 'B'. Can you explain this answer?
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y = x2 − aIn the equation above, a is a positive constant and the graph of the equation in the xyplane is a parabola. Which of the following is an equivalent form of the equation?a)y = (x + a)(x − a)b)y = (x + √a)(x − √a)c)d)y = (x + a)2Correct answer is option 'B'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about y = x2 − aIn the equation above, a is a positive constant and the graph of the equation in the xyplane is a parabola. Which of the following is an equivalent form of the equation?a)y = (x + a)(x − a)b)y = (x + √a)(x − √a)c)d)y = (x + a)2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for y = x2 − aIn the equation above, a is a positive constant and the graph of the equation in the xyplane is a parabola. Which of the following is an equivalent form of the equation?a)y = (x + a)(x − a)b)y = (x + √a)(x − √a)c)d)y = (x + a)2Correct answer is option 'B'. Can you explain this answer?.
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