9.10.1 The Vertex and Intercepts of a Function

Algebra 19.10.1 The Vertex and Intercepts of a Function

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9.10.1 • The Vertex and Intercepts of a Function

Warm Up

These expressions each define the same function.

$x^{2} + 6 x + 8$
$(x + 2) (x + 4)$
$(x + 3)^{2} - 1$

Without graphing or doing any calculations, determine where the following features would be on a graph that represents the function.

What is the $x$ -coordinate of the vertex (of the graph)?

The $x$ -coordinate of the vertex (of a graph).

The $x$ -coordinate of the vertex is -3.

What is the $y$ -coordinate of the vertex (of the graph)?

The $y$ -coordinate of the vertex (of a graph).

The $y$ -coordinate of the vertex is -1.

Select both $x$ -intercepts .

$(- 2, 0)$
$(- 6, 0)$
$(- 4, 0)$
$(- 8, 0)$

The $x$ -intercepts are $(- 2, 0)$ and $(- 4, 0)$ .

What is the $y$ -coordinate of the $y$ -intercept?

The $y$ -coordinate of the $y$ -intercept $(0,_____)$

8. The $y$ -intercept is $(0, 8)$ .

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- Authors: Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis, Jay Abramson, Sharon North, Amy Baldwin, Alyssa Howell
- Publisher/website: OpenStax
- Book title: Algebra 1
- Publication date: Jun 4, 2025
- Location: Houston, Texas
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- Section URL: https://openstax.org/books/algebra-1/pages/9-10-1-the-vertex-and-intercepts-of-a-function

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