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For what value of x is the tangent to the curve y = x $^2$ ...

For what value of x is the tangent to the curve y = x $^2$ - 4x + 3 parallel to the x-axis?

A.

3

B.

2

C.

1

D.

6

View answer & explanation

Correct answer is B

At the point where the tangent is parallel to the x- axis, the slope of the curve = 0.

Given: $y = x^{2} - 4x + 3$

$\frac{\mathrm d y}{\mathrm d x} = 2x - 4$

$2x - 4 = 0 \implies 2x = 4$

$x = 2$

When x = 2, the tangent of the curve is parallel to the x- axis.

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