Parabola Part 2 Quiz

Parabola Part 2 Quiz continues the journey into one of the most recognisable curves in mathematics with a calm and inviting tone. A charming piece of trivia says that early lighthouse engineers studied the way a curved reflective bowl could direct light into a strong beam. They later realised that this bowl shaped surface followed the same idea as a parabola graph, where every ray reflects toward a single point. This simple observation helped them guide ships safely at night. Such stories make the idea of a vertex and symmetry feel natural rather than abstract. The quiz builds on this sense of curiosity and gently expands what you learned in a basic parabola quiz.

Parabola Part 2

What is the line that is perpendicular to the axis of symmetry and opposite the focus called?

Diameter

Directrix

Chord

Tangent

In the parabola y = x², where is the vertex at?

(1, 1)

(2, 2)

(−1, 1)

(0, 0)

In the parabola y = x² + 3, which way is the vertex shifted?

Upward

Downward

Left

Right

What is coordinate of the vertex for the parabola y = x² − 4?

(0, 4)

(4, 0)

(0, −4)

(−4, 0)

What is the coordinate of the vertex for the parabola y = (x − 2)²?

(2, 0)

(0, 0)

(−2, 0)

(2, 2)

Which one of the following is NOT a parabola?

y = x²

y = −2x²

x = y²

y = 2x³

If y = −4x², the parabola opens:

Upward

Downward

Left

Right

Which equation represents a parabola that opens to the right?

y = 3x²

y = −x²

x = 3y²

y = 2x³

If a parabola has a minimum point, it must open:

Upward

Left

Right

Downward

How many axes of symmetries can a parabola have?

No axis of symmetry

One axis of symmetry

Two axes of symmetry

Infinite axes of symmetry

Your score is

The average score is 0%

Sample Questions from This Quiz

What is the line that is perpendicular to the axis of symmetry and opposite the focus called?
In the parabola y = x², where is the vertex at?
In the parabola y = x² + 3, which way is the vertex shifted?
What is coordinate of the vertex for the parabola y = x² − 4?
What is the coordinate of the vertex for the parabola y = (x − 2)²?

Try the full quiz and see how many of these you can answer!