Parabola
Test Your Knowledge on Parabolas
Welcome to the Parabola Quiz! This quiz is designed to challenge your understanding of parabolic equations and their properties. Whether you're a student looking to reinforce your learning or just curious about mathematics, this quiz is for you!
In this quiz, you will encounter questions related to:
- X-intercepts of parabolas
- Vertex shifting and its implications
- Tangents to parabolic curves
- Minimum values of quadratic fun
ctions
Which of the following parabola has no x-intercepts?
Y = x^2 + 5x + 1
Y = x^2 - 2x - 4
Y = 3x^2 + 2x - 1
Y = x^2 - 4x + 5
If graph of parabola shift 2 units left, its vertex will be on origin. Which of the following could be equation of that parabola?
3(x+2)^2
2(x-2)^2
3x^2 - 2
2x^2 + 2
F(x) = 3x^2 + 2 The given function is a parabola. If line y = k is tangent to graph of f(x), what is the value of k?
1
2
3
6
F(x) = ax^2 + c f(x) is a downward parabola and has no x-intercepts. Which of the following could be value of c?
2
1
0
-3
F(x) = 2x^2 + 4x + 11 What is the minimum value of the given parabola?
11
1
9
-1
F(x) = 3x^2 + 3 What is the coordinatw of vertex of the parabola?
(0,3)
(3,3)
(3,0)
(1,6)
F(x) = 3(x + 2)^2 - 4 The given function is a parabola. Which of the following quadrants does not contain graph of f(x), in the xy plane?
I
II
III
IV
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