Question

What are the x− and y−intercepts of the graph of y = x2 + 3x − 10?

x−intercepts: (−2, 0) and (5, 0)
y−intercept: (0, 10)

x−intercepts: (−2, 0) and (−5, 0)
y−intercept: (0, 10)

x−intercepts: (−2, 0) and (5, 0)
y−intercept: (0, −10)

x−intercepts: (2, 0) and (−5, 0)
y−intercept: (0, −10)

Answer 1

@Abhisar @ikram002p @jim_thompson5910 @texaschic101 @zepdrix

Answer 2

to find the y-intercept, plug in x = 0 and evaluate

Answer 3

what do you get for the y-intercept?

Answer 4

i plug in x=0 in how?

Answer 5

okay dumb question i got it its y= -10

Answer 6

so the y-intercept is the point (0,-10)

Answer 7

to find the x-intercept(s), you plug in y = 0 and solve for x

Answer 8

x^2 + 3x - 10 = y

x^2 + 3x - 10 = 0

x = ?? or x = ??

Answer 9

were you able to solve it or no?

Answer 10

erm no

Answer 11

we must factor x^2 + 3x - 10

find two numbers that multiply to -10 and add to 3

the numbers are 5 and -2

so

x^2 + 3x - 10 = (x+5)(x-2)

Answer 12

x^2 + 3x - 10 = 0

(x+5)(x-2) = 0

x = ?? or x = ??

Answer 13

5 and -2?

Answer 14

close

Answer 15

x+5 = 0

x = ??

Answer 16

-3? idkk

Answer 17

x+5 = 0

x+5-5 = 0-5

x = -5

Answer 18

that's one x-intercept

what is the other?

Answer 19

-2?

Answer 20

x-2 = 0

x = ?

Answer 21

+2?

Answer 22

very good

Answer 23

so the x-intercepts are (2,0) and (-5,0)

the y-intercept is (0,-10)

all of this is shown in the graph (see attached)

Answer 24

the graph was created using GeoGebra

http://www.geogebra.org/cms/en/