Question

In the function y-1=(4x)^2+7 , what effect does the number 4 have on the graph, as compared to the graph of y=x^2 ?

A. It stretches the graph vertically by a factor of 4.

B. It shrinks the graph horizontally to 1/4 the original width.

C. It shrinks the graph vertically to 1/4 the original height.

D. It stretches the graph horizontally by a factor of 4.

***Idk what this one means :/ please explain :) thanks! :D

Answer 1

are you sure it's not y-1=4(x)^2+7 or y-1=4x^2+7

Answer 2

here ill draw it out :)

Answer 3

hmm interesting

Answer 4

yeah idk what it means :/

Answer 5

do u understand it? :D

Answer 6

i think it's A, but that would mean it would have to be either y-1=4(x)^2+7 or y-1=4x^2+7

the coefficient for the x^2 term dictates how you stretch/compress the parent function

Answer 7

is there a difference when u change it like that??

Answer 8

but the way you drew it, it's way off (you would square 4 to get 16, but that's not an answer choice)

Answer 9

yes there is

Answer 10

here is exactly how it looks :)

Answer 11

idk if that helps? haha

Answer 12

wait but didn't u say earlier the k part is the up/down?? and k=8 in this equation right??
so would it still be stretching vertically ??? is the effect of the 4 a VERTICAL stretch?

Answer 13

no, that's shifting vertically

Answer 14

4 is part of the vertical stretch, but it's really 4^2 = 16

Answer 15

wait i'm confused.. so how do i find the answer to this??

Answer 16

there has to be a typo

Answer 17

my guess is that they meant to say y-1=4x^2+7

Answer 18

here is something i found :)
idk if that helps tho cuz i think u know this already haha

Answer 19

i do and those aren't used in this particular case

Answer 20

okay haha is it this that is used?

Answer 21

oh, ok, i see what they're using

Answer 22

x^2 becomes (4x)^2

so they replaced 'x' with '4x'

Answer 23

so yeah? the thingy i just posted is what we are using?

Answer 24

agreed?