Transformations Math 3Author: RayMiller Andrew
Description: Start with the parent function of your choice and determine the transformation by matching it with the the description.
Keywords: , , , , , , online teaching
Content:
Definitions:
0. f(x)=x^4
to
f(x) = (4x)^4
1. u(r) = 5r^4
to
u(r) = 5(r/4) ^ 2
2. g(x)=x^3
to
g(x) = ((x)^3) / 5
3. f(t) = squrt(t/4)
to
f(t)= squrt(t/4) - 4
4. p(t) = squrt(t)
to
p(t)= squrt(-t)
5. w(q)= 5(q^2)
to
w(q)= 5(q^2) / 4
6. g(x)=x^2
to
g(x) = (x-5)^2
7. s(v)= log -v
to
s(v) = log (-v) - 5
8. w(q)= q^7
to
w(q)= q^7 %2b5
9. w(q)= q^7
to
w(q)= (q %2b 4) ^7
10. t(v)= log (v - 4)
to
t(v) = 5 log(v - 4)
11. u(r) = 6r^4
to
u(r) = 6(r %2b 5) ^ 2
12. s(v)= - log v
to
s(v) =- log v
13. f(s)= e^s
to
f(s)= e^(s-4)
14. f(y)= y^3
to
f(y) = ( y/5)^2
15. f(t)= e^t
to
f(t)= e^(5t)
Answers:
0. 5 units right
1. 5 units up
2. vertical shrink of 1/4
3. 5 units down
4. vertical compression of 1/5
5. horizontal compression of 1/5
6. horizontal shrink of 1/4
7. reflection over the x axis
8. 5 units left
9. reflection over the y axis
10. 4 units down
11. 4 units right
12. vertical stretch of 5
13. 4 units left
14. horizontal stretch of 5
15. horizontal stretch of 4
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