Question

Based on the graph of y = x2 − 2x − 3, what is the x coordinate of the positive x-intercept?

Answer 1

@dumbcow

Answer 2

The x intercepts will be the roots of the given quadratic

Answer 3

Find the x intercepts by replacing y with 0

Answer 4

Out of the 2 roots .The one which is positive will be the x intercept you are looking for.

Answer 5

Got it?

Answer 6

0 = x^2 - 2x - 3
what do i do after this @Mertsj

Answer 7

@AravindG how do i solve it ?

Answer 8

I think you are supposed to graph it

Answer 9

yes^^

Answer 10

The problem says...based on the graph

Answer 11

So do you know how to find the vertex?

Answer 12

Or you just factorize :)

Answer 13

vertex is x = -b/2a right ?

Answer 14

yes. That is the x coordinate of the vertex.

Answer 15

ok i will solve it now hold on

Answer 16

ok

Answer 17

is it x = -(-2) / 2(1) ??

Answer 18

Yes. so x = 1

Answer 19

now ill solve for y hold on

Answer 20

y = -4

Answer 21

Graph that point. (1,-4)

Answer 22

now what

Answer 23

Replace x with 0 and find y

Answer 24

but to what equation ? lol

Answer 25

The only equation we have. y=x^2-2x-3

Answer 26

y = -3

Answer 27

right @Mertsj

Answer 28

Then use symmetry to find the corresponding point to the right of the vertex...as shown in the drawing.

Answer 29

Now let x = -1 and find two more points.

Answer 30

y = 0