The vertex of the parabola below is at the point (3,2) and the point (4,6) is on the parabola. what is the equation of the parabola?

Step-by-step explanation:

The vertex form of a parabola:

(h, k) - vertex

We have the vertex at (3, 2) → h = 3 and k = 2.

Substitute:

The point (4, 6) is on athe parabola. Put the coordinates of this point to the equation:

      subtract 2 from both sides

Finally:

         vertex form

use (a - b)² = a² - 2ab + b²

         use the distributive property

            standard form

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5