Question

1. what is the result of dilating the point (4, 9) by a factor of 3?

a. (1, 7)
b. (7, 12)
c. (1.3, 3)
d. (12, 27)

Explanation:

Step1: Recall dilation formula

For a point $(x,y)$ dilated by a factor $k$ about the origin, the new - point $(x',y')$ is given by $(x',y')=(kx,ky)$.

Step2: Identify values of $x$, $y$ and $k$

Here, $x = 4$, $y = 9$ and $k = 3$.

Step3: Calculate the new coordinates

$x'=k\times x=3\times4 = 12$
$y'=k\times y=3\times9 = 27$
So the dilated point is $(12,27)$.

Answer:

D. (12, 27)