Question

SS is in comments

Answer 1

im going to need help finding each one of them

Answer 2

The vertex is the tip part of the parabola

so look at your image, what is that point where the vertex is at

Answer 3

-1,4

Answer 4

Exactly!

The axis of symmetry is basically written in the form x = some number

and that number is the x-value of the vertex

what is the x-value of the vertex?

so then how would you write the axis of symmetry

Answer 5

the axis of symmetry is basically going to be a vertical line that splits the graph in two equal halves

Answer 6

X= -1?

Answer 7

Exactly!

and now the max/min

when you have a graph like this, the vertex is going to be the maximum

so what is the maximum?

Answer 8

4

Answer 9

and this is just in case you have more similar questions, if you graph looked like this then the vertex would be the MINUMUM

Answer 10

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Someoneee
4
\(\color{#0cbb34}{\text{End of Quote}}\)

No, write it as a point
basically the answer is the same as the vertex

Answer 11

(-1,4)

Answer 12

or would it be (4,-4)?

Answer 13

I don't know the range, so I don't know what the minimum would be

Answer 14

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Someoneee
(-1,4)
\(\color{#0cbb34}{\text{End of Quote}}\)

yes, this is the maximum point

Answer 15

this graph doesn't have a minimum because it keeps going on to negative infinity

Answer 16

oh, ok

Answer 17

y=3, and x=-3 or 1?

Answer 18

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Someoneee
y=3, and x=-3 or 1?
\(\color{#0cbb34}{\text{End of Quote}}\)

which one is which? and can you write them as points

Answer 19

y is (0,3) x is (-1,0)?

Answer 20

the x-intercept is the points where the graph crosses the x-axis so when y = 0

the y-intercept is where the graph crosses the y-axis so when x = 0

what are the x and y intercepts?

Answer 21

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Someoneee
y is (0,3) x is (-1,0)?
\(\color{#0cbb34}{\text{End of Quote}}\)

good but you're missing one more x-intercept

Answer 22

oh, x would be either (1,0) or (-3,0)

Answer 23

oh you got the x-intercept wrong

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Someoneee
oh, x would be either (1,0) or (-3,0)
\(\color{#0cbb34}{\text{End of Quote}}\)

yup, those are your two x-intercepts

Answer 24

So how do I find the domain now?

Answer 25

What are all the possible x-values for the graph?

Answer 26

-3, -1, 1

Answer 27

those are some possible x-values, but can't x be any value?

Answer 28

yea

Answer 29

^That's just an example to help you see

usually the domain is just all real numbers

and the range is determined by the max/min

Answer 30

so the range would be -1,4?

Answer 31

No, that's not how you write domain and range

domain is all the possible x-values

range is all the possible y-values
(-1, 4) is just a point

It tells you that the maximum y-value is 4
and when you look at the graph, you see that the graph keeps going down and down

and so the possible y-values is all the way from negative inifnity to 4

does that make sense?

Answer 32

Yes

Answer 33

what would I write as the range then?

Answer 34

It depends on how they expect you to write it

have you learned interval notation?

Answer 35

No

Answer 36

Then write it as an inequality

You can see that graph I sent earlier as an example for the domain

but for range, how would you write it?

the possible y-values are any number less than or equal to 4

what is that as an inequality?