Question

graph of y square equal to 4 x​

Answer 1

Answer:

Since  

x  is on the right side of the equation, switch the sides so it is on the left side of the equation.

4 x = y ²

Divide each term by  4  and simplify.

Divide each term in  4 x  =  y ² by  4

4 x /4  =  y ²/4

Reduce the expression by cancelling the common factors.

x  =  y ²/4

Find the properties of the given parabola.

Direction: Opens Right

Vertex:  ( 0 , 0 )

Focus:  ( 1 , 0 )

Axis of Symmetry:  y = 0

Directrix:  x = − 1

Select a few  x  values, and plug them into the equation to find the corresponding  y  values. The  x  values should be selected around the vertex.

x  Ι   y

0   Ι  0

1    Ι   2

1   Ι  − 2

2   Ι 2.83

2   Ι − 2.83

Graph the parabola using its properties and the selected points.

Direction: Opens Right

Vertex:  ( 0 , 0 )

Focus:  ( 1 , 0 )

Axis of Symmetry:  y = 0

Directrix:  x = − 1

Step-by-step explanation:

Hope this helps