## anonymous one year ago Explain how the graph of each given fucntion is a transformation of the graph of y=x^2 a.y=x^2 -5 b.y=-2x^2 c. y= (x-5)^2 d. y=(-3x)^2

There is an alteration in each of the functions, diverging from the original. But Iʻm afraid I donʻt know how to properly answer this, even though I have an idea, idk...I donʻt want to answer this even tho I am unsure, sorry

2. anonymous

:( ohh.... but for a isn't the answer y=x^2 undergoes a shift down 5?

3. anonymous

@Jhannybean HI!!!

4. anonymous

Bear with me for a minute.

5. anonymous

Okay! :) thank u

6. anonymous

Shifting left: $$f(x+b) \implies \text{graph shifts b units left}$$ shifting up/down: $$f(x) +b ~, \qquad f(x) -b \implies \text{graph moves up b units or down b units}$$ Shifting right: $$f(x-b) \implies \text{graph shifts b units to the right}$$ Inverting: $$-f(x) \implies \text{ graph that is right side up flips upside down}$$ $$\qquad \qquad \qquad \qquad \text{ or for odd functions flips across the y-axis }$$

7. anonymous

oooohhhh!!

8. anonymous

so.. a. will be shifiting down 5???

9. anonymous

That's right

10. anonymous

for b im still not sure

11. anonymous

@Jhannybean Can u help me more...?? Im still not sure