+0  
 
+1
110
4
avatar

Use the information provided to determine how the parabola opens. Vertex is (2, 3) and Focus is (0, 3).

 

 

a) Opens Down

 

b) Opens Right

 

c) Opens Left

 

d) Opens Up

 May 13, 2021
 #1
avatar+34306 
+1

The focus is always 'inside' the parabola curve    vertex 2,3     focus  0,3   is LEFT the vertex so the parabola opens leftward.

 May 13, 2021
 #2
avatar
0

Thank you so much!

Guest May 13, 2021
 #3
avatar+93 
0

 Opens Right

 

WORK SHOWN:  

The vertex is in the 2nd quadrant.
The focus is to the right of the vertex.
The parabola opens right.
The general form of such a parabola is

(y−k)2=4*a*(x−h)

 

Where -

k=3→ y - coordinate of the vertex
h=−2→ x - coordinate of the vertex
a=2→ Distance between the vertex and the focus

 

Substitute these values in the given formula

 

(y−3)2=4*2*(x-(-2))

(y−3)2=8(x+2)

 

THANK YOU HAVE A NICE DAY

 May 13, 2021
 #4
avatar+34306 
+1

..... but the question says the vertex is   2, 3    NOT    -2, 3

ElectricPavlov  May 13, 2021

12 Online Users

avatar
avatar
avatar