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Equation of a ParabolaStandard Form and Vertex Form EquationsThis page: Vertex Form Equation | Graph parabola from Vertex Form | Identify Vertex from Equation Standard Form Equation Related Pages: Parabola--graph, equation and formula |Axis of Symmetry |Standard and Vertex Forms of Equation| real world applications | Converting between Standard and Vertex Forms | Interactive Parabola(click and drag) | area of parabola
Standard Form Equation
The standard form of a parabola's equation is generally expressed:
Vertex Form of Equation
The vertex form of a parabola's equation is generally expressed as : y= a(x-h)2+k
This page: Vertex Form Equation | Graph parabola from Vertex Form | Identify Vertex from Equation Standard Form Equation Related Pages: Parabola--graph, equation and formula |Axis of Symmetry |Standard and Vertex Forms of Equation| real world applications | Converting between Standard and Vertex Forms | Interactive Parabola(click and drag) | area of parabola Practice Problems Vertex and Direction-Vertex Form EquationPart I 1) What is the graph of the following parabola y = (x–1)² + 1?
2) What is the graph of the following parabola y = –(x–1)² + 1?
3) What is the graph of the following parabola y = (x+2)² –3?
Identifying the vertex in vertex form1) What is the vertex of the following parabola: y = (x + 3)² + 4
2) Find the vertex of the following parabola: y = (x - 3)² + 4
3) What is the vertex of the parabola whose vertex form equation is y = (x - 2)² - 3
Part III 1) What is the vertex of a parabola with the following equation: y= 2(x-3)2+4 ? Does the parabola open upwards or downwards? Answers The vertex is (3,4) and it opens upwards since a is positive( it is 2), it opens upwards . 2) If a parabola's equation is y = 3(x+3)2 +4, what is its vertex? Which way does it open?
Answers Vertex = (-3,4), and it opens upwards since a is positive.
3) A parabola has the equation y = -22(x - 9)2 + 5. What is its vertex? Which way does the parabola open?
Answers Vertex = (9, 5) and since a is negative (it is -22), it opens downwards. This page: Vertex Form Equation | Graph parabola from Vertex Form | Identify Vertex from Equation Standard Form Equation Related Pages: Parabola--graph, equation and formula |Axis of Symmetry |Standard and Vertex Forms of Equation| real world applications | Converting between Standard and Vertex Forms | Interactive Parabola(click and drag) | area of parabola Vertex from Standard Form EquationThe standard form equation of a parabola is y = ax² + bx + c
To find the vertex of a parabola from the standard equation, use the following formula
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