# Math Help - Parabola help

1. ## Parabola help

i was wondering if anyone knows how to complete a this type of question:

F(x)=-(x-2)2-5

( the italic 2 means squared)

A.) sketch the parabola
B.) domain and range

i cant do it

3. Originally Posted by Alyssa111@
i was wondering if anyone knows how to complete a this type of question:

F(x)=-(x-2)2-5

( the italic 2 means squared)

A.) sketch the parabola
B.) domain and range
Hello,

from the given equation you know:

1. the graph is a parabola opening down
2. the vertex is at V(2,-5)
3. the axis of symmetry is x = 2
4. the parabola is normal (that means no transformations)
5. see attachment

to B:

there aren't any restrictions for x therefore the domain is $D_f=\mathbb{R}$

the y-value of the vertex is the maximum value of the function. Thus all other values are below (-5). Therefore the range is

$R_f=(-\infty, -5]$