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const2013 [10]
4 years ago
14

Compare and contrast division property of equality and inequality

Mathematics
1 answer:
ch4aika [34]4 years ago
7 0
The two properties are exactly the same when dividing by a positive number. For the division property of equality, dividing by a negative number causes the equal sign to change. Dividing both sides of an inequality by a negative number does not have an effect on the relation symbol.

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Which function has a vertex on the y-axis? f(x) = (x – 2)2 f(x) = x(x 2) f(x) = (x – 2)(x 2) f(x) = (x 1)(x – 2)
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The function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)

<h3>How to determine the function?</h3>

For a function to have its vertex on the y-axis, then the coordinate of the vertex must be:

(h,k) = (0,y)

A quadratic function is represented as:

f(x) = (x - h)^2 + k

So, we have:

f(x) = (x - 0)^2 + k

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f(x) = x^2 + k

From the list of options, we have:

f(x) = (x - 2)(x + 2)

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Hence, the function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)

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