f(x) = x³ - x² - 4x + 4
Given the zeros of a polynomial say x = a, x = b, x = c then
(x - a), (x - b), (x - c) are the factors of the polynomial and
f(x) is the product of the factors
here x = 1, x = - 2, x = 2, hence
(x - 1),(x + 2), (x - 2) are the factors and
f(x) = a(x - 1)(x + 2)(x - 2) ← a is a multiplier
let a = 1 and expand the factors
f(x) = (x - 1)(x² - 4)
= x³ - 4x - x² + 4
= x³ - x² - 4x + 4 ← in standard form
1. The scale factor is 2.
5 ÷ 2.5 = 2
3 ÷ 1.5 = 2
2. The area of the scale drawing is 3.75 in^2.
1.5 × 2.5 = 3.75
3. The area of the actual drawing is 7.5 in^2.
3.75 × 2 = 7.5
Whats the choices?
A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.
When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".
When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".
In this case you know that the triangle ABC was dilated by this scale factor:
With the origin as the center of dilation.
It is a Reduction.
You can identify that the vertices of the triangle ABC are:
So you need to multiply the coordinates of each vertex of the triangle ABC by , in order to get the coordinates of the triangle A'B'C. Then, you get: