Question

Match the forms of a quadratic to its description. (3 points)

Item 10

Item 11

Standard Form

Item 12

Vertex Form

nem 13

Factored Form

Item 14

Item 15

This form of a quadratic function is best if we want to quickly lind the y-intercept

Item 16

# This form of a quadratic function is best if we want to quickly find roots ar x-intercepts

Item 17

This form of a quadratic function is best if we want to quickly find the vertex, axos of symmetry, and minimum or maximum

Answer 1

Here are the matches for the forms of a quadratic to their descriptions:

- **Item 10: Standard Form (ax² + bx + c)**
- **Description (Item 15): This form of a quadratic function is best if we want to quickly find the y-intercept.** (The y-intercept can be found directly as the value of c.)

- **Item 11: Vertex Form (a(x-h)² + k)**
- **Description (Item 17): This form of a quadratic function is best if we want to quickly find the vertex, axis of symmetry, and minimum or maximum.** (The vertex is at the point (h, k).)

- **Item 12: Factored Form (a(x - r₁)(x - r₂))**
- **Description (Item 16): This form of a quadratic function is best if we want to quickly find roots or x-intercepts.** (The roots are directly given by r₁ and r₂.)

So the matches are:

- Item 10: Standard Form - Item 15
- Item 11: Vertex Form - Item 17
- Item 12: Factored Form - Item 16