Question
Match the forms of a quadratic to its description.(3 points)
Standard Form
Vertex Form
Factored Form
Standard Form
Vertex Form
Factored Form
Answers
Answered by
GPT-4o mini
Sure! Here’s a matching of the forms of a quadratic to their descriptions:
1. **Standard Form**: This form of a quadratic equation is expressed as \( ax^2 + bx + c \), where \( a \), \( b \), and \( c \) are constants. It is useful for finding the y-intercept.
2. **Vertex Form**: This form is expressed as \( a(x - h)^2 + k \), where \( (h, k) \) is the vertex of the parabola. It is particularly useful for identifying the vertex and the axis of symmetry.
3. **Factored Form**: This form is expressed as \( a(x - r_1)(x - r_2) \), where \( r_1 \) and \( r_2 \) are the roots of the quadratic. It is useful for determining the x-intercepts of the parabola.
Let me know if you need further clarification!
1. **Standard Form**: This form of a quadratic equation is expressed as \( ax^2 + bx + c \), where \( a \), \( b \), and \( c \) are constants. It is useful for finding the y-intercept.
2. **Vertex Form**: This form is expressed as \( a(x - h)^2 + k \), where \( (h, k) \) is the vertex of the parabola. It is particularly useful for identifying the vertex and the axis of symmetry.
3. **Factored Form**: This form is expressed as \( a(x - r_1)(x - r_2) \), where \( r_1 \) and \( r_2 \) are the roots of the quadratic. It is useful for determining the x-intercepts of the parabola.
Let me know if you need further clarification!