Question

State the NAME of each function AND DESCRIBE the transformation: 11. y = (x + 10)2 12. y=4x 13. y=x+5 14. y=1/4|x|

Answer 1

We have the function:

`y=(x+10)^2=x^2+20x+100`

This is a quadratic function and it represents a parabola.

The parabola can be sketched as follows:

To get the values for this function, for each value of x, we need to sum 10 units to the value of x and the result is raised to the second power (or we square the result).

We see that we can also expand the equation and get x^2+20x+100, and for any value of x, we need to square it, multiply by 20 and add 100, and finally sum each of the partial results. The answer will be the same.