Question

state the various transformations applied to the base function f(x) = x^2 to obtain a graph of the function g(x) = -(2x)^2 - 1

A horizontal compression by a factor of 1/2, a reflection about the x axis, and a vertical shift upward of 1 unit

A horizontal compression by a factor of 1/2, a reflection about the y-axis, and a vertical shift downward of 2 unit.

A horizontal compression by a factor of 1/2, a reflection about the x-axis, and a vertical shift downward of 1 unit.

A horizontal compression by a factor of 2, a reflection about the x-axis, and a vertical shift downward of 1unit

Answer 1

This is complicated, and in need of precise math. Im not too good with this so my advise is to go search the high level in math of the subject and find descriptions of them so.

Answer 2

hint: the answer is narrowed down to C or D because the "-1" at the end tells you to shift the graph down 1 unit

also, check out this page

http://www.regentsprep.org/regents/math/algtrig/ATP9/funclesson1.htm

and look for the " Horizontal Stretch or Compress" section

Answer 3

I think its C?

Answer 4

look at the page I posted

Answer 5

specifically look at the part that has "if a > 1, the graph is compressed horizontally by a factor of a units."

Answer 6

it says it would be horizontally compressed by a.
so would that mean it compressed by 2?

Answer 7

bingo

Answer 8

Awesome. Thank you!! I have several more of these I'm gonna try to do on my own.

Answer 9

you're welcome