Cecilia is making earrings for her friends. For each earring she combines two geometric shapes: a small shape inside a larger shape. The large shapes are triangles and trapezoids. The small shapes are rectangles, squares, and circles. What are the different earrings Cecilia can make?

Cecilia is could make 6 different earrings.

Step-by-step explanation:

There are 2 types of large shapes

And 3 types of small shapes.

So, different earrings Cecilia can make are 2*3 =6

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

y=mx+b

step-by-step explanation:

m is slope, b is y-intercept