Question

**One parabola below has the equationy = (x - 4)^2 + 2.Which equationrepresents the second parabola?

Answer 1

First, we expand the binomial squared:

`y=(x-4)^2+2=x^2-8x+16+2=x^2-8x+18.`

Since the leading coefficient is positive, the parabola is concave up, therefore the second parabola must be the concave down parabola.

Now, both parabolas have the same vertex, then the equation of the second parabola is as follows:

`y=-(x-4)^2+2.`

Answer:

`y=-(x-4)^2+2.`