For each set of functions, indicate its mathematical expression

Question

Could you help me please with the following problem.

For each set of functions, indicate its mathematical expression:

a) parabolas that pass through the origin and the point $(1,1)$

b) circles tangent to the x-axis and whose center is over the line $x = 1$

Edit

For the parabolas I got $c=0$ and $a+b=1$.

@Pedro That's fine! Add your derivation and results into your question — user, Sep 22 '20 at 16:43
@Pedro it suffices you write down the method you used and the main results. — user, Sep 22 '20 at 17:40

user · Answer 1 · 2020-09-22T16:47:07.293

2

HINT

Start from the general standard equations for

and apply the given conditions.

For the parabolas since we got $c=0$ and $a+b=1$, the general equation is

$$y=ax^2+(1-a)x, \, a \in \mathbb R$$

edited Sep 22 '20 at 16:47

answered Sep 22 '20 at 14:16

user

1 Answers1