4. A rectangle with an area of 25 square centimeters is rotated and reflected in
the coordinate plane. What will be the
area of the resulting image? Explain.

Answer

25 square

centimeters

Step-by-step explanation:

We want to find the area of the image of a rectangle with an area of 25 square

centimeters that has been rotated and reflected in

the coordinate plane.

Recall that, rotation and reflection are rigid transformations.

This means that, the preimage and the image rectangle are congruent.

Therefore the area of the image rectangle is still 25 square centimeters

5/6

step-by-step explanation:

if i remember correctly with perpendicular stuff you just take away the negative

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