Answer:
5. (x, y) ⇒ (-x, y) — see attached for the diagram
6. (x, y) ⇒ (x+3, y+5)
7. dilation
Step-by-step explanation:
5. A point reflected across the y-axis will have the same y-value, but the opposite x-value. The transformation rule is ...
(x, y) ⇒ (-x, y)
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6. A horizontal translation by "h" adds the value "h" to every x-coordinate. A vertical translation by "k" adds the value "k" to every y-coordinate. Then a translation by (h, k) will give rise to the rule ...
(x, y) ⇒ (x+h, y+k)
Your translation right 3 and up 5 will give the rule
(x, y) ⇒ (x+3, y+5)
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7. Any translation, rotation, or reflection is a "rigid" transformation that preserves all lengths and angles. Hence the transformed figure is congruent to the original.
When a figure is dilated, its dimensions change. It is no longer congruent to the original. (If the dilation is the same in x- and y-directions, then the figures are <em>similar</em>, but not congruent.)
C.
2.5mi to someplace then coming back is 0
Answer:
-1
Step-by-step explanation:
you find where the line crosses the y-intercept
Answer:
8x+4
Step-by-step explanation:
4(2x+1)=8x+4
Answer:
f(x-3)= x^2 -11x +24
Step-by-step explanation:
We want to find an equivalent expression for f(x-3)
To do this, we can simply substitute every 'x' variable in f(x) by 'x-3'
Therefore f(x-3)= (x-3)^2 -5*(x-3)
Lets re arrange the expression by grouping terms.
f(x-3)=x^2 - 6x +9 -5x + 15
f(x-3)= x^2 -11x +24