Answer:
(4,5)
Step-by-step explanation:
The equation of a circle that has centre coordinates (a,b) and radius r is
(x-a)^2+(y-b)^2=r^2
so (4,5) satisfy the equation
3^2+4^2=9+16=25
Yes. That's exactly right. Good work.
Answer:

Step-by-step explanation:
Required
The equation of the ellipse
This is calculated as:

Where:
---- height
--- width
So:



You have the correct axis of symmetry value. Nice work.
Plug that x value into the equation to get...
y = -2x^2 - 12x - 10
y = -2*(-3)^2 - 12*(-3) - 10 <<-- replace every x with -3; then use PEMDAS
y = -2*(9) - 12*(-3) - 10
y = -18 + 36 - 10
y = 18 - 10
y = 8
The vertex is the ordered pair (-3, 8)
Note: the axis of symmetry is the vertical line through the vertex
Eight and fifty four hundredths
8 . 5 4
Ones Tenths Hundredths