Question

The equation of the function shown can be written as

y = a(x-blank 1)(x-blank 2)(x-blank 3)

Blank 1:
Blank 2:
Blank 3:

Answer 1

`y=a(x-(-1))(x-2)(x-6)`

First blank -1

Second blank +2

Third blank +6

Explanation:

The x-intercepts of the graph are its zero's so if we see the graph it cuts the x-axis at 3 points -1 , +2 and +6 so the factors would be

`f(x)=a(x+1)(x-2)(x-6)`

The equation is always written as factors of the equation in terms of where the polynomial intersects the x-axis.