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Class Greeting.

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Presentation on theme: "Class Greeting."— Presentation transcript:

1 Class Greeting

2 Chapter 10 Quadratic Equations and Functions
Lesson 10-4 Supplement Forms of the Quadratic Function

3 Objective: Students will recognize and use the vertex and standard forms of quadratic functions.

4 Vertex Form of a Quadratic Function
Finding the Horizontal Intercepts of a Quadratic Function in Vertex Form Vertex Form of a Quadratic Function Vertex = (h, k)

5 Finding the Horizontal Intercepts of a Quadratic Function
in Vertex Form

6 Finding the Horizontal Intercepts of a Quadratic Function in Vertex Form
Determine the coordinates of the vertex and horizontal intercepts of the parabola. (If an answer does not exist, enter DNE.) f(x) = −9(x + 10)2 + 18 (-10, 18)

7 Finding the Horizontal Intercepts of a Quadratic Function in Vertex Form
Determine the coordinates of the vertex and horizontal intercepts of the parabola. (If an answer does not exist, enter DNE.) g(x) = −4(x − 10)2 + 20

8 Finding the Horizontal Intercepts of a Quadratic Function in Vertex Form
Determine the coordinates of the vertex and horizontal intercepts of the parabola. (If an answer does not exist, enter DNE.) f(x) = −4(x − 10)2 + 20

9 Vertex and Intercepts in
Standard Form

10 Vertex & X-intercepts in Standard Form

11 f(x) = −9(x + 10)2 + 18 Standard Form

12 f(x) = −4(x − 10)2 + 20 Standard Form

13 Vertex & X-intercepts in Standard Form
Determine the coordinates of the vertex and horizontal intercepts of the parabola. (If an answer does not exist, enter DNE.) y = x2 + 2x + 4 METHOD 1 (-1, 3) DNE No Real Roots

14 Vertex & X-intercepts in Standard Form
Determine the coordinates of the vertex and horizontal intercepts of the parabola. (If an answer does not exist, enter DNE.) y = x2 + 2x + 4 METHOD 2 (-1, 3) DNE h = -1 and k = 3 No Real Roots

15 Vertex & X-intercepts in Standard Form
Determine the coordinates of the vertex and horizontal intercepts of the parabola. (If an answer does not exist, enter DNE.) y = 5x2 + 6x + 1 Show both METHODS

16 Lesson Summary: Objective: The students will recognize and use the vertex and standard forms of quadratic functions.

17 Preview of the Next Lesson: Objective: The students will review for the chapter test.

18 Stand Up Please


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