### Home > CALC > Chapter 4 > Lesson 4.4.3 > Problem 4-153

4-153.

Find the linearization of *y *= 4 − 2*x*^{2} at (1, 2). Then, use it to approximate *y* when *x *= 1.15. Homework Help ✎

Recall that you first investigated local linearization by using your calculator to 'zoom in' on a coordinate point until the curvy function appeared to be linear. You then found the equation of that 'line' using two points. You now have a better strategy.

Find the equation of the tangent line at (1, 2) then evaluate *x* = 1.15.