Question

At how many points does the graph of the function below intersect the x-axis?

y = 2x2 - 3x + 1
A.2
B.1
C.0

Answer 1

The discriminant, b^2 - 4ac, will tell you how many and what type of solutions you have in a quadratic equation.
a= 2 b= -3 c= 1
(-3)^2 -4*2*1
9-8=1
Since the discriminant is a positive real number, there will be two real solutions,
So the graph will cross the x axis in two places. The answer is A

Answer 2

A.2 I did graph on my calculator finds out the function intersect both x-axis and y-axis(Hope it help:)