Answer:
Indira should have written the equations Negative 6 + a = negative 3 and 1 + b = negative 2 in Step 2.
Step-by-step explanation:
The complete question is:
On a coordinate plane, point B(–6, 1) is translated to B prime(–3, –2). Indira uses these steps to find a rule to describe the translation. Step 1Substitute the original coordinates and the translated coordinates into (x, y) right-arrow (x + a, y + b):
B (negative 6, 1) right-arrow B prime (negative 6 + a, 1 + b) = B prime (negative 3, negative 2)
Step 2
Write two equations:
Negative 6 + a = negative 2. 1 + b = negative 3.
Step 3
Solve each equation:
Negative 6 + a = negative 2. a = negative 2 + 6. a = 4. 1 + b = 3. b = negative 3 minus 1. b = negative 4.
Step 4
Write the translation rule:
(x, y) right-arrow (x + 4, y minus 4)
Which corrects Indira’s first error?
Indira should have substituted B (negative 6, 1) right-arrow B prime (negative 3 + a, negative 2 + b) = B prime (negative 6, 1) in Step 1.
Indira should have written the equations Negative 6 + a = negative 3 and 1 + b = negative 2 in Step 2.
Indira should have solved the equations to find that a = negative 8 and b = negative 2 in Step 3.
Indira should have written the translation rule (x, y) right-arrow (x minus 4, y + 4) in Step 4.
Answer:
Transformation is the movement of a point from its initial position to a new position. Types of transformation is rotation, dilation, rotation or reflection.
Translation is the movement of a point in a given direction. It is represented by (x, y) ⇒ (x ± a, y ± b)
If a is positive then the point is moved right and if a is negative, the point is moved left. Also if b is positive, the point is moved up and if b is negative, the point is moved down
Step 1 is correct:
B (- 6, 1) ⇒ B' (- 6 + a, 1 + b) = B' (- 3, - 2)
Step 2 is not correct, Indira should have written the equations:
(-6 + a, 1 + b) = (-3, -2)
-6 + a = -3 and 1 + b = -2
a = 3 and b = -3
(x, y) ⇒ (x + 4, b - 3)
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