Please help 25 pts sss
2 answers:
Answer:
(a) 3 units left, 5 units up
Step-by-step explanation:
Replacing x by x-h translates a function to the right by h units. When h=-3, the translation is to the left by 3 units.
Adding k to a function value, as in f(x)+k, translates the graph upward by k units.
It should be pretty obvious that changing a coordinate from (x, f(x)) to (x, f(x)+5) will move the point 5 units upward on the coordinate plane. (The y-coordinate is the measure of the distance above the x-axis, so increasing it increases that distance.)
Taken together, the two translations — from (x, f(x)) to (x, f(x+3)+5) — move the graph of the function 3 units to the left and 5 units up.
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Answer:
The coordinates of the dillated vertices are ,
,
and
.
Step-by-step explanation:
From Linear Algebra, we define dilation by the following equation:
(1)
Where:
- Center of dilation, dimensionless.
- Original point, dimensionless.
- Scale factor, dimensionless.
- Dilated point, dimensionless.
If we know that ,
,
,
,
and
, then the dilated points are, respectively:
Point A
(2)
Point B
(3)
Point C
Point D
The coordinates of the dillated vertices are ,
,
and
.