Which of the following polynomials represents a difference of squares? x^2-1,x^2-8,4x^2+16,9x^2-18

Step-by-step explanation:

we know that

Every difference of squares problem can be factored as follows:

If the polynomial represent a difference of squares every number must be a perfect square (Remember that a number is a perfect square if its square root is an integer.)

Verify each case

case 1) we have

In this case both numbers are perfect square

so

therefore

The polynomial represent a difference of squares

case 2) we have

In this case 8 is not a perfect square

therefore

The polynomial not represent a difference of squares

case 3) we have

In this case both numbers are perfect square

but is a sum of squares

therefore

The polynomial not represent a difference of squares

case 4) we have

In this case 2 is not a perfect square

therefore

The polynomial not represent a difference of squares

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .