Write an equation for each translation of y=|x| 15.5 units down
2 answers:
Answer:
Step-by-step explanation:
The given function is
And we want to move it down 15.5 units.
Remember, when we translate functions, we need to pay attention the direction of the movement.
- If we add units to y-variable, we are gonna move the function upwards.
- If we subtract units to y-variable, we are gonna move the function downwards.
So, in this case, we need to subtract 15.5 units, to move the function downwards 15.5 units.
You need to be carefule, if you subtract in side the absolute value, you are gonna be movind the function horizontally.
Therefore, the transformation of the given function is
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Answer:
See attached image for the drawing of the first four trees (circled in green)
The patterns is:
x = 2+3n and y= 3+2n
Position of 7th tree is: (20,15) (circled in orange in the image)
Step-by-step explanation:
Starting at the location (2,3) the next x and y positions are given by:
x = 2+3n since the horizontal position needs to be increased by 3 units on each iteration,
and y= 3+2n since the vertical position needs to be increased by 2 units on each iteration
being n= 1 through 6 (to account for the next 6 trees that need to be planted)
With such pattern, the location of the seventh tree would be:
x = 2 + 3*6 =2 + 18 = 20
y = 3 + 2*6 = 3 + 12 = 15
That is, the point (20,15) on the plane.
Also see attached image.
