How do I graph the quadratic equation #y=(x-4)^2-6#?

1 Answer
Patrick H.
Jun 23, 2018

Take the graph #y=x^2#. Then translate the graph 4 units to the right and 6 units down.

Explanation:

After translations, the graph will like this:

graph{(x-4)^2-6 [-10.12, 9.88, -8, 2]}

The vertex is located at #(4,-6)#. The graph will pass through the points #(2,-2)#, #(3,-5)#, #(5,-5)#, and #(6,-2)#.

Related questions
See all questions in Graphing Quadratic Functions
Impact of this question
5793 views around the world
You can reuse this answer
Creative Commons License