Question

The vertex at (-2, 3) and the focus at (1,3)​

Answer 1

Answer:

The equation of parabola is

(

y

−

3

)

2

=

16

(

x

−

2

)

Explanation:

Focus is at

(

6

,

3

)

and vertex is at

(

2

,

3

)

;

h

=

2

,

k

=

3

.

Since focus is at right of vertex, parabola opens right ward

and

a

is positive. The equation of right opened parabola is

(

y

−

k

)

2

=

4

a

(

x

−

h

)

;

(

h

.

k

)

;

being vertex and focus is at

(

h

+

a

,

k

)

∴

2

+

a

=

6

∴

a

=

6

−

2

=

4

. Hence equation of

parabola is

(

y

−

3

)

2

=

4

⋅

4

(

x

−

2

)

or

(

y

−

3

)

2

=

16

(

x

−

2

)

graph{(y-3)^2=16(x-2) [-80, 80, -40, 40]} [Ans]

Answer link

Step-by-step explanation:

mark as brain least