anonymous
  • anonymous
Given the function f(x) = x2 and k = –1, which of the following represents a function opening downward? f(x) + k kf(x) f(x + k) f(kx)
Algebra
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
DanJS
  • DanJS
the function is a quadratic, parabola f(x) = a*x^2 + b*x + c here a=1, and b and c are zero
DanJS
  • DanJS
If you recall, the 'a' coefficient on the x^2 term can tell you which way the parabola opens, up+ or down -
DanJS
  • DanJS
the thing starts opening upwards f(x) = x^2 to open down, need a negative in the front

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

DanJS
  • DanJS
so to do that change using that k=-1 you can multiply f(x) by that k
DanJS
  • DanJS
k*f(x) = (-1)*f(x) = (-1)*x^2
anonymous
  • anonymous
so the answer would be b?
DanJS
  • DanJS
f(x) + k --- that shifts the whole graph up/down by k, any value is just increased by k k*f(x) --- scale, also changed the opening direction depending on the sign of 'a' f(x + k) -- horizontal shifts , f(x-a) , so f(x+k) moves left k units for the whole graph
anonymous
  • anonymous
if I’m being honest, I’m not sure what that means. What would the answer be, or could you try showing me. @DanJS
anonymous
  • anonymous
@DanJS
DanJS
  • DanJS
was gone for awhile, yeah for f(x) = x^2, which is a parabola with vertex at the origin and opening upwards, to flip it to open down, you need a negative value as a coefficient to x^2
DanJS
  • DanJS
yeah, k*f(x) = -x^2 opens down now
DanJS
  • DanJS
I just figured you probably may of went over the other ideas in the answer choices, i was typing them to show why wrong,

Looking for something else?

Not the answer you are looking for? Search for more explanations.