How do you sketch the graph of y=(x-9)^2+5 and describe the transformation?

1 Answer
Robert W. ยท EZ as pi
Jul 8, 2017

Translation of y=x^2

Explanation:

When a quadratic is in the form y=(x-p)^2+q such as this, the negative of p tells us the x coordinate of the vertex of the graph and q tells us the y coordinate.

ie vertex is (-p, q)

Consider the graph y=x^2 and you will notice that it has shifted (translation) 9 units to the right -(-9) and 5 units up. We often write this in column vector form:

((9),(5))

Related questions
See all questions in Vertical Shifts of Quadratic Functions
Impact of this question
2489 views around the world
You can reuse this answer
Creative Commons License