Parabola Part 3 Quiz

Parabola Part 3 Quiz draws inspiration from the way some old bridges were designed with gentle curved supports. Engineers noticed that changing the width of the arch changed its strength and this encouraged deeper study of the transformation of parabolas. The behaviour of a curve depended on how its axis of symmetry lined up with the load and how its directrix influenced the shape. This simple structural insight became one of the earliest examples of practical curve adjustments. The quiz uses this same spirit of exploration and includes ideas such as examining which equation of parabola will open to the left.

Parabola Part 3

The equation y = 0.1x² gives a parabola that is:

Very narrow

A straight line

Very wide

A perfect circle

If the value of a increases (e.g., from 1 to 5), the parabola becomes?

Narrower

Wider

Flatter

A line

Which transformation turns y = x² into y = x² + 5?

Shift down

Shift left

Shift right

Shift up

Which transformation turns y = x² into y = (x − 4)²?

Upward shift

Right shift

Downward shift

Left shift

The graph of y = −x² + 2 has a:

Minimum point

No turning point

Vertical line

Maximum point

Which point lies on the parabola y = x²?

(2, 4)

(3, 5)

(1, 0)

(4, 10)

What is the coordinate of the vertex of y = (x + 1)²?

(1, 0)

(0, 1)

(−1, 0)

(0, −1)

In the equation y = x² + 6x + 9, what would be coordinate of the vertex.

(3, 0)

(−3, 0)

(−3, 9)

(3, 9)

Which equation of parabola will open to the left?

x = 3y²

y = −x²

y = x²

x = −2y²

What is the axis of symmetry for y = (x − 5)²?

x = 5

y = 5

x = −5

y = −5

Your score is

The average score is 0%

Sample Questions from This Quiz

The equation y = 0.1x² gives a parabola that is:
If the value of a increases (e.g., from 1 to 5), the parabola becomes?
Which transformation turns y = x² into y = x² + 5?
Which transformation turns y = x² into y = (x − 4)²?
The graph of y = −x² + 2 has a:

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

Beyond Parabola Part 3 Quiz

Parabola Part 4

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Parabola Part 1

Test your curve skills before they curve away from you!

Parabola Part 2

See if your maths memory still knows its favourite curve!

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Cyclic Patterns Part 2

When math goes in circles, your brain follows too!

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Number Series Part 2

Numbers don’t lie, but they sure love to tease!

Number Series Part 3

When numbers start acting strange, fun usually follows!