Question

Determine the equation of the graph and select the correct answer below.

parabolic function going up from the left through the point approximately negative two and three fourths comma zero and turning at the point negative one comma three and going down through the point zero comma two and through the point approximately three fourths comma zero and continuing towards infinity
Courtesy of Texas Instruments

y = –(x + 1)2 + 3
y = –(x − 1)2 + 3
y = (x + 1)2 + 3
y = (x − 1)2 − 3

Answer 1

@Michele_Laino could you help

Answer 2

it is first one

Answer 3

can you explain

Answer 4

of course,
1. parabola is opened to downside. so the coefficient of x^2 must be negative.

this is helpful for us to neglect last 2 answers since they have positive coefficients for x^2

Answer 5

i would think its the second one

Answer 6

2. (-1, 3 ) is a point on the curve. that means when you plug -1 instead of x you must get 3 for y.

which leads use to forget 2nd answer

Answer 7

**which leads us to forget 2nd answer

Answer 8

so first one is the correct one.

Answer 9

@coltonbasham can you explain me why you choose 2nd one?

Answer 10

Because the second one is the only answer with positive and negative answers it was just a educated guess

Answer 11

hmm.. is this a exam question? :)

Answer 12

and did you choose 2nd one?

Answer 13

yes, i would like to know how to solve it

Answer 14

sure, i will show you,

do you agree with me that when I plug (-1,3) in the solution. It becomes zero?

Answer 15

y = –(x + 1)2 + 3
y + (x+1)^2 -3 = 0

put x =-1 and y = 3

you will get 0

Answer 16

i understand now

Answer 17

I suggest you to re-post the question or ask someone else, if you don't believe me. So that you can get a good idea about this question.

Answer 18

My father got the same answer as you so yeah i trust you

Answer 19

yes. it's true. I have done this type questions alot before.

hope this helpful to you. bye

Answer 20

you can ask me if you have more questions