What is the equation of the quadratic graph with a focus of (6, 0) and a directrix of y = −10? f(x) = −one twentieth (x − 6)2 + 5 f(x) = −one twentieth (x − 6)2 − 5 f(x) = one twentieth (x − 6)2 + 5 f(x) = one twentieth (x − 6)2 − 5

Last option is right

f(x) = one twentieth (x − 6)2 − 5

Step-by-step explanation:

Given that it is a quadratic equation

Hence a parabola

Focus = (6,0)

Directrix is y =-10

Since vertex lies exactly in the middle from focus to directrix we have

vertex = (6,-5)

The parabola is having axis perpendicular to directrix and hence axis is x =6

The parabola is open up since focus lies above the directrix.

So equation is

Hence last option is right

f(x) = one twentieth (x − 6)2 − 5

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.