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

### Question

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

### Options

A) 3

B) 2

C) 1

D) 0

The correct answer is B.

## Dicussion (1)

• The gradient of the curve would be parallel when the gradient if the curve is 0, I.e, d(y)/dx = 0
Therefore:
d(x² - 4x + 3)/dx = 0
2x - 4 = 0
2x = 4
X = 2