
The equation above is the intercept form. Both a-term and b-term are the roots of equation.

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

Here we can convert the expression x+1/3 to this.

Rewrite the equation.

Simplify by multiplying both expressions.

<u>Answer</u><u> </u><u>Check</u>
Substitute the given roots in the equation.


The equation is true for both roots.
<u>Answer</u>

Rewrite in standard form and use the form to find the vertex.
(1, 5)
(x - 1)^2 + 5
The diameter is 10:
To do this we must use the distance formula:
Distance =√(x2−x1)^2+(y2−y1)^2
So, if we substitute in our values for the origin and endpoint (origin is 1 values, endpoint is 2)
D=✓(-4-0)^2+(-3-0)^2
Simplified, this is
D=✓16+9
D=✓25
D=5
so, the distance from the center of the crcle to the endpoint is 5 (making the radius)
multiply by two, and the diameter of the circle is 10 :)