Question

50 POINTS! Please help me! I give Brainliest!
1. Given the following coordinates, complete the listed transformations in sequence, which means you do one after the other.
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwise
b) Dilation by a scaling factor of 2
c) Reflect across the x-axis
d) Translation 2 Up and 5 to the Left

4 PARTS TO THIS QUESTION! ANSWER ALL PLEASE!

Answer 1

#1

Clockwise 90° rotation rule (x,y)—»(y,-x)

• X'=(4,-2)
• Y'=(-3,-5)
• Z'=(1,7)

#2

Dilation of scale factor 2

• X''=(4×2,-2×2)=(8,-4)
• Y''=2(-3,-5)=(-6,-10)
• Z''=2(1,7)=(2,14)

#3

reflection across x axis rule (x,y)—»(x,-y)

• X'''=(8,4)
• Y'''=(-6,10)
• Z"'=(2,-14)

#4

Rule for given translation (x-5,y+2)

• X""=(8-5,4+2)=(3,6)
• Y""=(-6-5,10+2)=(-11,12)
• Z""=(2-5,-14+2)=(-3,-12)

Answer 2

Answer:

Given points:

• X = (2, 4)
• Y = (5, -3)
• Z = (-7, 1)

Part (a)

Rotate 90° clockwise (about the origin): (x, y) → (y, -x)

• X' = (4, -2)
• Y' = (-3, -5)
• Z' = (1, 7)

Part (b)

Dilation by a scale factor → multiply the points by the scale factor

scale factor = 2

• X'' = (8, -4)
• Y'' = (-6, -10)
• Z'' = (2, 14)

Part (c)

Reflect across the x-axis:  (x, y) → (x, -y)

• X''' = (8, 4)
• Y''' = (-6, 10)
• Z''' = (2, -14)

Part (d)

Translate 2 up and 5 to the left:  (x, y) → (x - 5, y + 2)

• X'''' = (3, 6)
• Y'''' = (-11, 12)
• Z'''' = (-3, -12)