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Answer: ASet 3: Quadratic Equations (Intermediate)
Explanation
If the discriminant is 0, the graph:
A.✓ Correct
Touches the x-axis at one point
B.
Crosses the x-axis at two points
C.
Does not cross the x-axis
D.
Is a straight line
Detailed Explanation
Choice A is correct. Choice A is the correct answer. The discriminant determines the number of real roots. * : Two distinct roots (crosses twice). * : One repeated root (touches once). * : No real roots (does not cross). Choice B is incorrect because that requires positive discriminant. Choice C is incorrect because that requires negative discriminant. Choice D is incorrect because it is quadratic.
Key Steps:
•
The correct answer is Touches the x-axis at one point
Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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