What is the equation of the parabola that has a vertex at # (-4, 16) # and passes through point # (0,0) #?
1 Answer
Feb 9, 2016
Let us solve this problem by substituing both points into a parabola equation:
Explanation:
- First of all, let us substitute
#(0,0)# :
Thus, we obtain the independent term in equation, getting
- Now, let us substitute the vertex,
#(-4, 16)# . We get:
Now, we have a relation between
- For any parabola, the vertex can be obtained by:
In our case:
- Finally, we must solve the system given by:
Replacing
And finally:
This way, the parabola equation is: