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Equations of Parabolas and Vertex Form Quiz

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Equations of Parabolas and Vertex Form Quiz

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Questions and Answers

What is the general form of a parabola's equation?

y = ax^2 - bx + c

y = a(x + h)^2 + k

y = ax^2 + bx + c (correct)

y = a(x - h)^2 + k

What does the 'a' value in the equation y = ax^2 + bx + c determine?

The x-intercepts of the parabola

The vertex of the parabola

The width and direction of the parabola (correct)

The axis of symmetry of the parabola

What is the relationship between the vertex of a parabola and the values of 'h' and 'k' in the equation y = a(x - h)^2 + k?

The vertex is (-h, -k)

The vertex is (-h, k)

The vertex is (h, k) (correct)

The vertex is (h, -k)

Aalo andhari bevi haldar path class 11 ka vishay kya hai?

Bhautik Bhugol Signup and view all the answers

Aalo andhari bevi haldar path class 11 kis adhyayan ki kitab hai?

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Kaun si class ke vidyarthi ke liye Aalo andhari bevi haldar path upyukt hai?

Class 11 Signup and view all the answers

Study Notes

Quadratic Equations and Parabolas

The general form of a parabola's equation is y = ax^2 + bx + c.
In the equation y = ax^2 + bx + c, the 'a' value determines the shape of the parabola, with a > 0 opening upwards and a < 0 opening downwards.

Vertex Form of a Parabola

The vertex form of a parabola is y = a(x - h)^2 + k.
In the equation y = a(x - h)^2 + k, the vertex of the parabola is (h, k), where 'h' represents the horizontal shift and 'k' represents the vertical shift.

Aalo andhari bevi haldar path

Aalo andhari bevi haldar path is a chapter in Class 11.
Aalo andhari bevi haldar path is a part of the Environmental Studies (EVS) textbook.
This chapter is suitable for Class 11 students.

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Description

Test your understanding of the general form of a parabola's equation, the significance of the 'a' value in the equation y = ax^2 + bx + c, and the relationship between the vertex of a parabola and the values of 'h' and 'k' in the equation y = a(x - h)^2 + k.