How many zeros does the relation y=4(x-3)^2 - 3 have?

Answer 1

The quadratic y = 4(x - 3)² - 3 is written in vertex form meaning we can read the vertex right off the equation. The x-value of the vertex is determined from the number grouped with the "x" so "-3" but you must think of "x" as Mr. Opposite so flip the sign and you get that the x-value of the vertex is 3. The y-value of the vertex you just read as the number on the back end so y = -3. That makes the vertex (3, -3).

The parabola opens upward because number in the very front is positive.

So think of a parabola with vertex at (3, -3) that opens up and you'll get something like this:

which crosses the x-axis twice. So it will have 2 zeros.