Podcast
Questions and Answers
Which form of a parabola's equation can be written as $y = a(x - h)^2 + k$?
Which form of a parabola's equation can be written as $y = a(x - h)^2 + k$?
- Standard form
- Vertex form (correct)
- Intercept form
- General form
What does the value of $a$ represent in the vertex form of a parabola's equation?
What does the value of $a$ represent in the vertex form of a parabola's equation?
- The x-coordinate of the vertex
- The y-coordinate of the vertex
- The axis of symmetry
- The coefficient of the quadratic term (correct)
How can we find the equation of a parabola using the vertex form?
How can we find the equation of a parabola using the vertex form?
- By finding the coordinates of the vertex and substituting them into the equation (correct)
- By finding the y-intercept and substituting it into the equation
- By finding the x-intercepts and substituting them into the equation
- By finding the axis of symmetry and substituting it into the equation
What is the vertex of a parabola?
What is the vertex of a parabola?
What is the purpose of rewriting a parabola's equation in vertex form?
What is the purpose of rewriting a parabola's equation in vertex form?
Flashcards
Vertex Form
Vertex Form
y = a(x - h)^2 + k
Value of 'a' in Vertex Form
Value of 'a' in Vertex Form
It determines the direction and stretch of the parabola.
Finding Parabola Equation
Finding Parabola Equation
Find the vertex coordinates (h, k) and substitute into y = a(x - h)^2 + k.
Vertex of a Parabola
Vertex of a Parabola
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Purpose of Vertex Form
Purpose of Vertex Form
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Study Notes
Vertex Form of a Parabola's Equation
- The vertex form of a parabola's equation can be written as y = a(x - h)^2 + k.
Representation of 'a' in Vertex Form
- The value of 'a' represents the vertical stretch factor, telling us how skinny or fat the parabola is.
Finding a Parabola's Equation Using Vertex Form
- To find the equation of a parabola using the vertex form, we need to know the vertex (h, k) and the value of 'a'.
Vertex of a Parabola
- The vertex of a parabola is the lowest or highest point on the graph, represented by (h, k), where 'h' is the x-coordinate and 'k' is the y-coordinate.
Purpose of Rewriting a Parabola's Equation in Vertex Form
- The purpose of rewriting a parabola's equation in vertex form is to easily identify the vertex, axis of symmetry, and direction of opening, making it easier to graph the parabola.
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