Question Video: Evaluating Quadratic Functions | Nagwa Question Video: Evaluating Quadratic Functions | Nagwa

# Question Video: Evaluating Quadratic Functions Mathematics

Given that the function ๐(๐ฅ) = โ2๐ฅยฒ + 10๐ฅ โ 2, where ๐โถ โ โ โ , determine ๐(3).

01:18

### Video Transcript

Given that the function ๐ of ๐ฅ equals negative two ๐ฅ squared plus 10๐ฅ minus two, where the functionโs domain and range are all reals, determine ๐ of three.

We copy down our function. And note that weโre looking for the function at ๐ฅ equals three. So we substitute three for all the ๐ values in our function.

Following the order of operations, we first operate three squared which equals nine. And everything else weโll bring down. From there, we multiply from left to right. Negative two times nine equals negative 18. 10 times three equals 30.

And weโll bring everything else down. Negative 18 minus two equals negative 20. And weโll bring down the plus 30. Now we have negative 20 plus 30 which equals 10.

This function at ๐ฅ equals three, ๐ of three, equals 10.

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