At how many points does the graph of function below intercept the
x axis y=4x^2-9x+9?

a.2
b.1
c.0

C. 0

Step-by-step explanation:

The points of intercection between the graph of a quadratic function of the form are given by the discriminant of the quadratic formula.

Remember that the quadratic formula is:

The discriminant of he quadratic formula is just the thing inside the radical, in other words:

- If the discriminant is negative, the graph of the quadratic function doesn't intercept the x-axis.

- If the discriminant is positive, the graph of the quadratic function intercept the x-axis at 2 points.

- If the discriminant is 0, the graph of the quadratic function intercept the x-axis at 1 point.

We can infer form our quadratic that , , and , so let's replace the values in the discriminant:

Since the discriminant is negative, we can conclude that the graph of the quadratic function doesn't intercept the x-axis at any point.

step-by-step explanation:

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.