Question

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

Answer 1

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

Answer 2

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

Answer 3

@Jhannybean HI!!!

Answer 4

Bear with me for a minute.

Answer 5

Okay! :) thank u

Answer 6

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: \(-f(x) \implies \text{ graph that is right side up flips upside down}\) \(\qquad \qquad \qquad \qquad \text{ or for odd functions flips across the y-axis }\)

Answer 7

oooohhhh!!

Answer 8

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

Answer 9

That's right

Answer 10

for b im still not sure

Answer 11

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