Interpreting Vertex Form and Standard - Math with …...Example 2 Determine whether the function...

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Transcript of Interpreting Vertex Form and Standard - Math with …...Example 2 Determine whether the function...

Page 1: Interpreting Vertex Form and Standard - Math with …...Example 2 Determine whether the function represented by each equation is quadratic. If so, give the axis of Symmetry and the
Page 2: Interpreting Vertex Form and Standard - Math with …...Example 2 Determine whether the function represented by each equation is quadratic. If so, give the axis of Symmetry and the
Page 3: Interpreting Vertex Form and Standard - Math with …...Example 2 Determine whether the function represented by each equation is quadratic. If so, give the axis of Symmetry and the

Interpreting Vertex Form and Standard FormM6:6.3

Objective: Students will be able to change quadratic function from vertex to standard form.

Page 4: Interpreting Vertex Form and Standard - Math with …...Example 2 Determine whether the function represented by each equation is quadratic. If so, give the axis of Symmetry and the

Vocabulary

Standard Form of Quadratic Equation

Axis of Symmetry

y = + bx + ca, b, c are real numbers and a ≠ 0

x = b2a

ax2

Page 5: Interpreting Vertex Form and Standard - Math with …...Example 2 Determine whether the function represented by each equation is quadratic. If so, give the axis of Symmetry and the

Example 2 Determine whether the function represented by each equation is quadratic. If so, give the axis of Symmetry and the coordinates of the vertex.

A By = -2x + 20 y = - 42x2

Page 6: Interpreting Vertex Form and Standard - Math with …...Example 2 Determine whether the function represented by each equation is quadratic. If so, give the axis of Symmetry and the

Example 3 Rewrite a quadratic function from vertex form, y = a(x-h)2 + k, to standard form y = ax2 + bx + c

y = 4(x − 6)2 + 3