Question

PLEASE help me!! I am desperate!
I do award a medal to whoever helps me. I just need someone to explain this to me.
2.Given the function k(x) = x2, compare and contrast how the application of a constant, c, affects the graph. The application of the constant must be discussed in the following manners: •k(x + c)
•k(x) + c
•k(cx)
•c • k(x)

Answer 1

Please help me understand this stuff.

Answer 2

y = A (Bx + C ) + D

C = vertical shrink, by a factor of "C"
B = vertical shrink, by a factor of "B"
D = vertical shift, D > 0, up, D < 0, down

Answer 3

http://www.youtube.com/watch?v=3Q5Sy034fok

Answer 4

if the original function was k(x) = x^2
then
\(\bf k(x) = x^2\\ \quad \\ \quad \\
k(x) + c\implies x^2+c \qquad \textit{vertical shift upwards by "c"}\\
k(cx)\implies (c\cdot x)^2\implies c^2\cdot x^2 \qquad \textit{vertical shrink by a factor of }c^2\\
c\cdot k(x) \implies c\cdot x^2 \qquad \textit{vertical shrink by a factor of "c"}\)

Answer 5

Thank you so much @jdoe0001! That helped me a lot!

Answer 6

yw