Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Can someone explain this please
What will the point (3, 9) from the base parabola, be transformed to after:
A vertical stretch by a factor of 2:
Followed by a vertical reflection:
Followed by a horizontal translation of 4 units to the right:
Followed by a vertical translation of 2 units up:
What will the equation be?
 one year ago
 one year ago
Can someone explain this please What will the point (3, 9) from the base parabola, be transformed to after: A vertical stretch by a factor of 2: Followed by a vertical reflection: Followed by a horizontal translation of 4 units to the right: Followed by a vertical translation of 2 units up: What will the equation be?
 one year ago
 one year ago

This Question is Closed

zepdrixBest ResponseYou've already chosen the best response.1
So we start with the function, the base parabola, \(\large y=x^2\) Stretching it by a factor of 2, \(\large y=2x^2\) Then reflecting it vertically, \(\large y=2x^2\) Then a horizontal shift to the RIGHT 4 units, \(\large y=2(x4)^2\) Then finally, a vertical shift UP 2 units, \(\large y=2(x4)^2+2\)
 one year ago

waheguruBest ResponseYou've already chosen the best response.0
but the question says what will the point (3,9) be ?
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
So there is the equation. Let's see if we can figure out where (3,9) moves to.. hmm :\
 one year ago

waheguruBest ResponseYou've already chosen the best response.0
Is the question asking us to make an equation using the points 3, 9 or without the points
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
The last part says "What will the equation be?" That's the part we've determined already. It doesn't involve the point (3,9). I'm not exactly sure how they want us to do that first part. It seems the question wants to know where that point would be on our new parabola, relative to it's location on the old one. We've stretched it, and moved things around .. I'm not sure how we would determine that :O Hmm
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
I guess we could measure from 3 units left of the vertex of our new parabola, and determine the function value it gives us. \(\large f(x)=2(x4)^2+2\) Our function has a vertex at \(\large (4,2)\). So three units left of that would be at x=1. \(\large f(1)=2(14)^2+2\) And this should tell us where that point now lies. I think...
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
Hmm kinda confusing though XD maybe there's a simpler way to do that.
 one year ago

waheguruBest ResponseYou've already chosen the best response.0
Thats fine Ill check with my teacher
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.