Given the function f(x) = x2 and k = 2, which of the following represents a horizontal shift?

f(x) + k
kf(x)
f(x + k)
f(kx)

Question

Given the function f(x) = x2 and k = 2, which of the following represents a horizontal shift?

 f(x) + k
 kf(x)
 f(x + k)
 f(kx)

misty1212 · Answer

HI!!

misty1212 · Answer

it has nothing to do with the particular function you are given 
compared to the graph of $y=f(x)$ the graph of $y=f(x+k)$ is always a horizontal shift

princesssleelee · Answer

Would you go with C as well? Thats what I am going for!

misty1212 · Answer

lol it is always C
when in doubt, charlie out

princesssleelee · Answer

Given the functions f(x) = 3x2, g(x) = x2 − 4x + 5, and h(x) = –2x2 + 4x + 1, rank them from least to greatest based on their axis of symmetry.

 f(x), g(x), h(x)
 f(x), h(x), g(x)
 g(x), h(x), f(x)
 g(x), f(x), h(x)

misty1212 · Answer

the axis of symmetry of $y=ax^2+bx+c$ is always $x=-\frac{b}{2a}$

misty1212 · Answer

in the first one $f(x)=3x^2$ you have $b=0$ the the axis of symmetry is $x=0$

misty1212 · Answer

can you do the rest?

princesssleelee · Answer

In that case, Im going with C again! lol

misty1212 · Answer

i would not

princesssleelee · Answer

Nnevermind!  they want least to greatest! not greatest to least

misty1212 · Answer

it says "least to greatest" right?  pretty sure $x=0$ is the least

princesssleelee · Answer

Yes! my misunderstanding

misty1212 · Answer

but you got it right except that you put it backwards

princesssleelee · Answer

I see that.

princesssleelee · Answer

i cant figure out what h(X) is...

misty1212 · Answer

you mean this one$$ h(x) = –2x^2 + 4x + 1$$

misty1212 · Answer

in this case $a=-2,b=4$ the axis of symmetry is $x=-\frac{4}{2\times (-2)}=1$

princesssleelee · Answer

therefore it is second. ok, thank you very much. making it B, overall.

misty1212 · Answer

yes, it is B$$\color\magenta\heartsuit$$