Question

What is the equation of the graph below?

My answer is a




y = -2(x - 3)2 + 1

y = -2(x + 3)2 + 1

y = 2(x - 3)2 + 1

y = 2(x + 3)2 + 1

Answer 1

So what is the vertex here?

Answer 2

3, 2, 1

Answer 3

Just to remind you: \(y = a(x - h)^2 + k\) :)

Answer 4

2?

Answer 5

Its easier if you try eliminating the ones that are not it.

Answer 6

god point RyanL

Answer 7

What you can do is find what makes the it concave up or concave down.

Answer 8

good*

Answer 9

My only option is D

Answer 10

;)

Answer 11

Yeah, you eliminate D.

Answer 12

why did you eliminate D?

Answer 13

When it's concave down, then the \(a\) should be negative.

Answer 14

I didn't eliminate D!

Answer 15

So basically, you only have 2 options in hand.

Answer 16

That's a very possible solution

Answer 17

Okay, let's eliminate from the start and not get mixed up

Answer 18

ok:)

Answer 19

you rock by the way

Answer 20

So is it concave up or down?

Answer 21

lol

Answer 22

up:)

Answer 23

... actually this is up:(bad drawing, but you get the point :))

Answer 24

So the parabola in your question is actually concave down. Got it?

Answer 25

got it :) it tricked me ;)

Answer 26

Okay, so when the parabola is concave down, then the \(a\) is negative in this: \(y = a(x - h)^2 + k\)

Answer 27

got it ;)

Answer 28

So what would you eliminate?

Answer 29

A obviously

Answer 30

When you eliminate an option, you know that it'd not be an answer. :P

Answer 31

2 things, for future reference: 1) when you are writing an exponent use the "^" then the power. if you have a-d, list a,b,c,d then the associated responses. it will be easier to read. oterwise use the equation writer.

Answer 32

you have three pieces of information 1) it opens downwards, 2 it is shfited right on the x axis by 3 spaces, 3) it is pelleted upwards by one space. all you have to do is plug those into the equation that parth gave you. sign of a is upwards/downward, sign and number h is shift left or right, sign and number of k is shift up or down.

Answer 33

pelleted s/b shifted