Question

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

axis?
y = 4x2 - 9x+9

Answer 1

None.

Explanation:

We need to find the nature of the roots of the equation by examining the value of the discriminant ( b^2 - 4ac).

b^2 - 4ac = (-9)^2 - 4*4*9

= 81 - 144

= -63

Because it is negative there are no real roots so there are no intersecting points on the x axis

Answer 2

None

Explanation:

The fastest way to answer this is to calculate the determinant b^2 - 4ac.

Here a = 4; b = -9; c = 9.

Then the discriminant is:

(-9)^2 - 4(4)(9) = -63

Because the determinant is negative, the graph of this function does not intersect the x-axis.