Home > CCAA8 > Chapter 11 Unit 12 > Lesson CCA: 11.2.2 > Problem11-49

11-49.

For the quadratic function $f(x)=2(x+1)^2−5$:

1. Identify the vertex and state if it is a maximum or minimum point on the graph.

The $x$-coordinate of the vertex is subtracted from $x$ inside the parentheses.
The $y$-coordinate of the vertex is added outside the parentheses.
If the coefficient of the parentheses is positive, the vertex represents the minimum value.
If the coefficient of the parentheses is negative, the vertex represents the maximum value.

The vertex is ($-1$, $-5$), and is the minimum point on the graph.

2. What is the value of the function at that minimum or maximum point?

The $y$-coordinate represents the value of the function.

$-5$