Select the function that represents a parabola with vertex at (2,1) and y-intercept (0,3).

y - 1 = (1/2)(x - 2)^2

Step-by-step explanation:

The appropriate equation for such a parabola has the form

y - k = a(x - h)^2, where (h, k) is the vertex:

y - 1 = a(x - 2)^2.  Since the y-intercept is (0, 3), we substitute 3 for y and 0 for x, obtaining:

3 - 1 = a(0 - 2)^2, or

2 = a(4).  Therefore, a = 1/2, and the equation of this parabola is:

y - 1 = (1/2)(x - 2)^2

Next time, please share the possible answers given to you.  Thank you.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

what are the