Explain whether or not the following equation is a quadratic function in vertex form. y = 4(x - 2)^2 + 6.
your explanation should be at least 3 - 4 sentences and include at least 5 of the following words/phrase:
-squared term
-constant term
-quadratic function
-coefficient
-vertex form
-y variable

Yes, the following equation is a quadratic function in vertex form

Step-by-step explanation:

we know that

The quadratic function of the vertical parabola into vertex form is equal to

where

(h,k) is the vertex of the parabola

If the coefficient a is > 0 ----> the parabola open upward (vertex is a minimum)

If the coefficient a is < 0 ----> the parabola open downward (vertex is a maximum)

in this problem we have

The squared term contain the x-coordinate of the vertex

The constant term is the y-coordinate of the vertex

The vertex is the point (2,6)

The coefficient is equal to

----> open upward (vertex is a minimum)