What are the important points needed to graph  F(x) = (x-7)^2-3?

Oct 27, 2015

Refer Explanation

Explanation:

$y = {\left(x - 7\right)}^{2} - 3$

Its vertex is -

x co-ordinate of the vertex is $- \left(- 7\right) = 7$
y co-ordinate of the vertex is -3)

At $\left(7 , - 3\right)$ the curve turns.

Since $a$ is positive, the curve opens upward. It has a minimum at $\left(7 , - 3\right)$

Take two points on either side of $x = 7$.
Find the corresponding $y$ values.

x: y
5: 1
6: -2
7: -3
8: -2
9: 1

graph{(x-7)^2-3 [-10, 10, -5, 5]}