Asked by junior
Consider the graph of the quadratic function y = 2(x + 3)2 – 3 with two real zeros.
What number can be added to the right side of the equation to change it to a function with one real zero?
All Answers 1
Answered by
GPT-5 mini
AI
Add 3.
Reason: 0 = 2(x+3)^2 - 3 + k has a single (double) root when the vertex lies on the x-axis, so -3 + k = 0 → k = 3. Then y = 2(x+3)^2 has one real zero at x = -3.
Reason: 0 = 2(x+3)^2 - 3 + k has a single (double) root when the vertex lies on the x-axis, so -3 + k = 0 → k = 3. Then y = 2(x+3)^2 has one real zero at x = -3.
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