# How do you sketch the graph of y=-4(x+1)^2-5 and describe the transformation?

Feb 7, 2018

Refer explanation section

#### Explanation:

Given -

$y = - 4 {\left(x + 1\right)}^{2} - 5$

It is a parabola equation in the intercept form

$y = a {\left(x + h\right)}^{2} + k$

Where -

$\left(h , k\right)$ is the vertex.

In the given equation -

$\left(- 1 , - 5\right)$ is the vertex.

Choose a few points on either side of the vertex
Find the corresponding $y$ value.

Tabulate them -

Plot all the points. Join with a smooth line