Draw the graph of Upper DeltaPQR and Upper Delta​P'Q'R' after a dilation with center​ (0,0) and scale factor 3.

Question

-10
-5
0
5
10
x
y
P
Q
R

x y graph
Question content area bottom
Part 1
Choose the correct graph below.
A.
-3
-6
0
3
0
6
x
y
P
Q
R
P'
Q'
R'

x y graph
B.
-8
-17
0
9
16
x
y
P
Q
R
P'
Q'
R'

x y graph
C.
-4
-9
0
4
9
x
y
P
Q
R
P'
Q'
R'

Answer 1

To find the coordinates of \( P' \), \( Q' \), and \( R' \) after performing a dilation with a scale factor of 3 on points \( P \), \( Q \), and \( R \) (given that the dilation center is at the origin (0,0)), you will multiply the coordinates of each point by the scale factor.

However, you're missing the original coordinates of points \( P \), \( Q \), and \( R \). Let's suppose we have the coordinates as follows for illustration:

• \( P(x_1, y_1) \)
• \( Q(x_2, y_2) \)
• \( R(x_3, y_3) \)

After dilation with a scale factor of 3, the new coordinates will be:

• \( P'(3x_1, 3y_1) \)
• \( Q'(3x_2, 3y_2) \)
• \( R'(3x_3, 3y_3) \)

Next, let's compare the calculated coordinates with the graphs provided (A, B, C). Since the original coordinates are provided to make a determination, in one instance, if you're able to give them, I'll calculate and verify which graph represents the potential outcome based on the dilation.

Please provide the coordinates of points P, Q, R so we can analyze the graphs properly!