Which quadratic has a graph with x-intercepts of 6 and - 6?

A)

y = x2 - 6

B)

y = x2 - 36

C)

y = x2 + 36

D)

y = x2 - 12x + 36

Question

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Mathematics

1 January, 16:24

Which quadratic has a graph with x-intercepts of 6 and - 6?

A)

y = x2 - 6

B)

y = x2 - 36

C)

y = x2 + 36

D)

y = x2 - 12x + 36

+3

Answers (1)

Know the Answer?

Joy Bailey · Answer 1

If x' & x" are the roots (or x intercepts) of a quadratic equation, then it could be written:

y = (x-x') (x-x")

Since - 6 & + 6 are the roots of the quadratic function, then it could be written

as follows y = (x+6) (x+6) = = = > y = x²-36. So the answer is B

Which quadratic has a graph with x-intercepts of 6 and - 6?A)y = x2 - 6B)y = x2 - 36C)y = x2 + 36D)y = x2 - 12x + 36

Which quadratic has a graph with x-intercepts of 6 and - 6?

A)

y = x2 - 6

B)

y = x2 - 36

C)

y = x2 + 36

D)

y = x2 - 12x + 36