# How do you sketch the graph of #y=-(x+5)^2+1# and describe the transformation?

##### 1 Answer

Dec 20, 2017

See explanation

#### Explanation:

I think it would be best if we approached this by parts:

Begin with the parent function, that is, start with the standard parabola

graph{x^2 [-10, 10, -5, 5]}

Next, we can graph **LEFT**. That is, take each point and shift it

graph{(x+5)^2 [-10, 10, -5, 5]}

Then we move on **UP**. The graph is now this:

graph{(x+5)^2 +1[-10, 10, -5, 5]}

Finally, we have

graph{-(x+5)^2 +1[-10, 10, -5, 5]}

**This is our final graph**