For the following problem, find the quadratic function y=f(x) that has the given vertex and whose graph passes through the given point.
vertex (2,3) passing through point (3,6)
write the function in standard form.

Arectangle with an area of 47 m² is dilated by a factor of 7. what is the area of the dilated rectangle? enter your answer in the box. do not leave your answer as a fraction.

You spend $13 to rent five movies for the weekend. new releases cost $3 and regular movies rent for $2. how many of the movies you rented were new releases and how many were regular movies? answer by substitution of systems.

The length of a rectangle (x+5) inches long, and the width is 3 2/5 inches. if the area is 51 square inches, write and solve an equation to find the length of the rectangle.