Question

the graph of y=x^2-3x+6 has how many x-intercepts?
a. 6
b. 1
c. 2
d. 0

Answer 1

you need to look at the value of the discriminant

Answer 2

do you know what the discriminant is?

Answer 3

no

Answer 4

firstly, you get the x intercepts when y=0. so it is asking if there are any real solutions to:\[x^2-3x+6=0\]A general quadratic equation has the form:\[ax^2+bx+c=0\]it's discriminant is defined as:\[b^2-4ac\]if the discriminant is greater than zero than you have 2 distinct real solutions
if the discriminant is zero then you have two identical real solutions
if the discriminant is negative then you have complexsolutions

Answer 5

does any of this make sense to you?

Answer 6

if not, then I suggest you take a look at this to first familiarise yourself with these concepts: http://www.mathsisfun.com/algebra/quadratic-equation.html

and then come back to this question.

Answer 7

okay thank you

Answer 8

yw :)

let me know if you are still stuck after you have tried looking at the details on that site and I will try my best to help you.