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Question: The vertex of the parabola y = x<sup>2</sup> - 8x + c will be a point on the x-axis if the value of ...

The vertex of the parabola y = x2 - 8x + c will be a point on the x-axis if the value of c is

A

-16

B

-4

C

4

D

16

Answer

16

Explanation

Solution

(y+16-c) = (x-4)2

The vertex = (4, c-16) is a point on x-axis

⇒ c - 16 =0

⇒ c = 16