The vertex of a parabola is at the point (3,1), and its focus is at (3,5). what function does the graph represent

The equation of the parabola is .

Step-by-step explanation:

It is given that the vertex of a parabola is at the point (3,1), and its focus is at (3,5).

Let the equation of parabola is

Where, (h,k) is vertex and (h,k+p) is focus.

The vertex of a parabola is at the point (3,1). So, the equation of parabola is

Focus of the parabola is (3,5),

Compare both sides.

Therefore the equation of the parabola is

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.