Math Problem Statement
In order to solve for the "a" value of vertex form of a quadratic function given the vertex and a point, one should plug in which of the following? In order to solve for the "a" value of vertex form of a quadratic function given the vertex and a point, one should plug in which of the following?b c 4c x No answer text provided. k h -b/2a a y No answer text provided.
Solution
To solve for the "a" value in the vertex form of a quadratic function, the equation is typically written as:
Where:
- is the vertex of the quadratic function
- is a point on the parabola
- is the value we need to solve for
Given this, in order to solve for , you need to plug in the values for:
- (the x-coordinate of the vertex),
- (the y-coordinate of the vertex),
- (the x-coordinate of the given point), and
- (the y-coordinate of the given point).
Therefore, the correct variables to plug in are:
Steps:
- Plug in and from the point on the parabola.
- Plug in and from the vertex.
- Solve for .
Would you like more details or examples?
5 Related Questions:
- How can you find the vertex form of a quadratic equation given three points?
- What is the difference between the vertex form and standard form of a quadratic function?
- Can you convert a quadratic equation from standard form to vertex form?
- How does the value of "a" affect the shape and direction of a parabola?
- What is the significance of the vertex in a quadratic function?
Tip:
When solving for the "a" value in vertex form, remember that the sign of "a" determines whether the parabola opens upwards or downwards (positive "a" for upward, negative for downward).
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Functions
Vertex Form
Formulas
y = a(x - h)^2 + k
Theorems
Properties of Quadratic Functions
Vertex Form of a Quadratic Equation
Suitable Grade Level
Grades 9-12
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