If the graph of an equation is symmetric with respect to the y-axis and 6 is an x-intercept, name another x-intercept

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Mathematics

Weiss

30 November, 06:59

If the graph of an equation is symmetric with respect to the y-axis and 6 is an x-intercept, name another x-intercept

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Alex Fuller · Answer 1

-6 because for every value (x, y) there is another value (-x, y) so for the value (6,0) there must also be a value (-6,0). That is what the definition of y-axis symmetry is, it is also known as being an "even" function if it has this type of symmetry. Look at the graph of y = (x^2) - 36 to see how this works.