Y=4x^{2 -4x+9 find the x-intercepts for the parabola

The parabola does not intercept the x-axis.

Step-by-step explanation:

The parabola intercepts the x-axis when , then, you need to substitute into the equation:

Now, use the Quadratic formula:

In this case:

Substituting these values and evaluating, you get:

Remeber that:

Then, rewriting:

Simplifying:

Then:

The roots are complex, therefore, the parabola does not intercept the x-axis.

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