Question

use the graph at the right. find the vertices of the image of qrtw for a dilation with center (0,0) and a scale factor of 7. q (simplify your answer. type an ordered pair.)

Explanation:

Step1: Identify coordinates of Q

From the graph, $Q = (-2, 4)$

Step2: Apply dilation formula

Dilation with center $(0,0)$ and scale factor $k$: $(x,y) \to (kx, ky)$. Here $k=7$.
$Q' = (7 \times -2, 7 \times 4)$

Step3: Calculate new coordinates

$7 \times -2 = -14$, $7 \times 4 = 28$

Answer:

$(-14, 28)$