What is the area of this figure?
enter your answer in the box.

Hello from MrBillDoesMath!

523 in^2

Discussion:

The area of the figure =

Area of top Rectangle + Area of left triangle + Area of right triangle =

18 * 18                            + (1/2)(18)(16)                + (1/2)  8 (16) =

324                                 + 144                           + 64                =

= 532

Thank you,

MrB

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

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step-by-step explanation: