Answer:
The parent function is 
That Parabola's equation is 
Step-by-step explanation:
I can't really explain much, but the top equation is a formula for <em>all </em>equations for a parabola. h and k are the x and y-values of the vertex. a is, well, a.
How did I find the equation of the parabola? Simple. Since the vertex is on the origin, h and k are 0. Also, because it intercepts (2,4) and (1,1), a=1.
Answer:

Step-by-step explanation:
The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that
, where
is the hypotenuse of the triangle, and
and
are the two legs of the triangle.
From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of
, we have:

Answer:
Step-by-step explanation:
Your question's not complete. How far did the car travel? Call this distance "d." Then:
d miles 60 min
----------- * ------------ = 12d mph
5 min 1 hour
For this case what we should do is take into account the following conversion:

We then have the following number:

Applying the given conversion we have:

By doing the corresponding calculation we have that the standard form is given by:
Answer:
4540 million in standard form is: