12x =
Just added 3 and 4 and 5 to get twelve
For the given expressions we will have:
y = exp(x - 4) →we have a shift of 4 units to the right.
y = exp (x +9) → we have a shift of 9 units to the left.
y = exp(x) + 7 → we have a shift of 7 units up.
y = exp(x) - 6 → we have a shift of 6 units down.
<h3>
How to work with vertical and horizontal shifts?</h3>
Remember that the shifts work as follows.
For a function f(x), we define a vertical shift of N units as:
g(x) = f(x) + N
- If N > 0, the shift is upwards.
- If N < 0, the shift is downwards.
For a function f(x), we define a horizontal shift of N units as:
g(x) = f(x + N)
- If N > 0, the shift is to the left.
- If N < 0, the shift is to the right.
Then, if we have:
exp(x - 4) we have a shift of 4 units to the right.
exp (x +9) we have a shift of 9 units to the left.
exp(x) + 7 we have a shift of 7 units up.
exp(x) - 6 we have a shift of 6 units down.
Learn more about translations
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Hmm,
ok,
complete square ok
wait wat
he went from
(x-3)²=16 to
x-3=16
?????
he square rooted the left side only
he has to do it to both sides
he should have done
(x-3)²=16
x-3=+/-4
x=3+/-4
x=7 or -1
1/2, because 3/10 + 1/5 = 5/10. that means that the other part of 1 is 5/10 or 1/2
