# How do you find the vertex and the intercepts for # 4x^2 - 3x - 2 = 0#?

##### 1 Answer

#### Explanation:

There is a really cool way to find the axis of symmetry and hence

Write the given equation as:

Now consider the

Apply:

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Substitute

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The graph will cross the y-axis at x=0 so by substitution.

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There are not whole number factors for this equation so we are forced to use the equation method.

Where

and:

23 is a prime number so you can not do any more with it. So if you whish have a precise solution there is no choice other than to state:

You could work out the decimals if you wish but these will not be precise!

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