# How do you sketch the graph of y=-(x-4)^2+3 and describe the transformation?

Aug 9, 2018

Graph

#### Explanation:

$y = - {\left(x - 4\right)}^{2} + 3$

If x is zero, $y = - 13$

If x is 1, $y = - 6$

etc.

The graph is below:

graph{ (-(x-4)^2) + 3 [-5.16, 14.84, -6.4, 3.6]}