Answer:
A
Step-by-step explanation:
Given
x² + 6x
To complete the square
add ( half the coefficient of the x- term )² to x² + 6x
x² + 6x + (3)²
= x² + 6x + 9
= (x + 3)²
V=LWH
if each is doubled
V=2L2W2H
V=2*2*2*LWH
V=8LWH
volume is multiplied by 8
The <em><u>correct answer</u></em> is:
Translated according to the rule (x, y) →(x + 2, y + 8) and reflected across the y-axis
Explanation:
A translation using the rule (x, y) →(x + 2, y + 8) adds 2 to the x-coordinate and 8 to the y-coordinate. This takes our points and maps them the following way:
A(-5, -2)→(-3, 6)
B(-7, -3)→(-5, 5)
C(-6, -6)→(-4, 2)
D(-3, -5)→(-1, 3)
E(-3, -3)→(-1, 5)
The difference between each of these points and the image points is that the x-coordinates are negated. To do this, we would reflect the points through the y-axis.