Look at picture
write the equation in vertex form and standard form.

It's a parabola with a vertex at (0,-3)  that also passes through (2,1)

In general we have vertex (p,q) and scale factor a giving parabola

y = a(x - p)² + q

We know (p,q)=(0,-3) so we put in (x,y)=(2,1) and solve for a:

1 = a(2 - 0)² + -3

1 = 4a - 3

4 = 4a

a = 1

So our equation is

y = x² - 3

which is both vertex form and standard form.

vertex form:  y = x² - 3   standard form: y = x² - 3

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: