Question

Helppppppp I need it for a test right now !!!!
The point (3,-2) is rotated 90° about the origin and
then dilated by a scale factor of 4. What are the
coordinates of the resulting image?
1) (-12,8)
2) (12,-8)
3) (8,12)
4) (-8.-12)

Answer 1

3) 8,12


(3,-2) to (2,3) to (8,12)

Answer 2

Since the object is rotated by 90° and then dilated by 4, the coordinate of the resulting image is 3) (8, 12)

To answer the question, we need to know what transformations are

What are transformations?

Transformations are mathematical operations which are performed on an object in the coordinate plane to change its value. The four transformations are

• Rotation,
• Reflection
• Translation and
• Dilation

The 90° rotation

Now, since the point (3,-2) is rotated 90° about the origin and then dilated by a scale factor of 4. We first perform a rotation by 90 which changes the any point (x, y) to (-y, x). So, (3, -2) changes to (-(-2), 3) = (2, 3)

The dilation by 4

Next, we perform a dilation by a factor of 4 which changes any point (x,y) to   λ(x, y) = (λx, λy).

Since λ = 4, after the dilation, (2,3) becomes (4 × 2, 4 × 3) = (8, 12)

So, the coordinate of the resulting image is 3) (8, 12)

Learn more about transformation here:

https://brainly.com/question/4289712

#SPJ2