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

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

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)

Finding the Horizontal Intercepts of a Quadratic Function in Vertex Form

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)        

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

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

Vertex and Intercepts in Standard Form

Vertex & X-intercepts in Standard Form

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

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

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

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

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

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

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

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