Question

Draw the graph of the polynomial f(x) = x2 - 2x - 8​

Answer 1

Answer:

Step-by-step explanation:

Given,

f(x)=x  

2

−2x−8

to find the vertex, we know,

x=−  

2a

b

​

=−  

2×1

−2

​

=1

to find y coordinate, substitute the value of x in equation.

(1)  

2

−2(1)−8=1−2−8=9

The vertex is (1,9)

Now, x intercepts,

x  

2

−2x−8=0

(x−4)(x+2)=0

x=−2,4

The x intercepts are (−2,0),(4,0)

To find the y intercept, substitute x=0 in given equation,

0  

2

−2(0)−8=−8