Question: 1.Is it true that a quadratic function can be written in two forms: . Standard form f(x) = tax> + bx + c Vertex form

1.Is it true that a quadratic function can be
1.Is it true that a quadratic function can be written in two forms: . Standard form f(x) = tax> + bx + c Vertex form f(x) = ta(x -h) + k, where point (h,k) is the Vertex? 2. Determine whether the following quadratic functions are written in standard form or vertex form and determine the vertex for the quadratic function written in vertex form. a) f(x) = x2 - 9x +14 b) f(x) = -2(x - 1)? - 4 c) f(x) = -3x2 - 5 d) f(x) = (x + 3)3 3. Write the quadratic function f(x) = 3x2- 6x + 1 in vertex form and find the vertex Recall: completing the square Section 1.4 Objective 3 and see Section 3.1 Example 2] About the end behavior of a parabola 4. Is it true that the graph of a quadratic function is a parabola? a) Is it true when the given quadratic function is y = tax + bx + cory = ta(x-h)* + k, the parabola opens down and the vertex is the min point of the parabola (because a > O)? b) Is it true when the given quadratic function is y = -ax + bx + cory = -a(x-h)= + k, the parabola opens up and the vertex is the max point of the parabola (because a

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