6

Set 2: Quadratic Equations (Intermediate)

Explanation

Answer: A

If the discriminant is 0, the graph:

A.

Touches the x-axis at one point

✓ Correct
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. * Δ>0\Delta > 0: Two distinct roots (crosses twice). * Δ=0\Delta = 0: One repeated root (touches once). * Δ<0\Delta < 0: 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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