Question

The function f is given by f(x) = x(x - 2). Whichstatement is true about the graph f?

Answer 1

Step 1 :

In this question, we are given the function,

`f(\text{ x ) = x ( x - 2 )}`

We need to sketch the graph, to answer the questions.

Step 2 :

We can now answer the following questions:

For the first option,

The graph has a y-intercept of ( 2, 0 ) ---NOT CORRECT

For the second option,

The coordinates of the vertex are ( 1, 1 ) - NOT CORRECT

For the third option,

The graph opens downwards - NOT CORRECT

For the fourth option,

The x-intercepts are ( 0,0 ) and ( 2, 0 ) ----- CORRECT

CONCLUSION:

The x-intercepts are ( 0,0 ) and ( 2, 0 ) ----- CORRECT