# How do you sketch the graph of #y=x^2-5# and describe the transformation?

##### 1 Answer

May 10, 2018

See below

#### Explanation:

If you know the graph of a function

where:

#A# multiplies the whole function, thus stretching it vertically (expansion if if#|A|>1# , contraction otherwise)#w# multiplies the input variable, thus stretching it horizontally (expansion if if#|w|<1# , contraction otherwise)#h# and#v# are, respectively, horizontal and vertical translations.

In your case, starting from

Moreover,

Finally, you have