Question

Change the equation of the parabola so that its graph matches the description.

(y - 3)^2 = 6(x + 1);  upper half of parabola

Answer 1

Step 1 :

The parabola equation is .

Solve for .

Take square root each side.

.

Add 3 to each side.

.

The upper half of the parabola is and the lower half of the parabola is .

Step 2 :

Graph the upper half of the parabola.

The upper half of the parabola is .

Make the table of values to find ordered pairs that satisfy the equation .

Choose values for x  and find the corresponding values for y .

x
0
1
2
3
4
5

 

Comments

Contd......

Step 3 :

1. Draw a coordinate plane.

2. Plot the ordered pairs found in the table.

4. Connect those plotted points with a smooth curve.

The graph of upper half of the parabola is :

Solution :

The upper half of the parabola is .

The graph of upper half of the parabola is :