Write the equation of the quadratic function with roots 0 and 2 and a vertex at (1, 5).

The "standard" parabola with roots 0 and 2 is

All multiples of this parabola, i.e.

have the same roots. We can choose the factor such that the parabola passes through the desided point: if we plug 1, 5 for x, y we have

So, our claim is that the parabola

has roots 0 and 2 and vertex at (1, 5).

You can easily verify this: the roots are guaranteed by the fact that we can write the equation as

The vertex must be at x=1, because it's the midpoint of the roots. Moreover, if we evaluate the function at x=1 we have

as required.

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation:

“ a line segment that has the endpoints on the circle and passes through the midpoint is called the diameter. the diameter is twice the size of the radius. a line segment that has its endpoints on the circular border but does not pass through the midpoint is called a chord. a circle is the same as 360 small circle up the number 0 . i hope this .