Parabola Part 4 Quiz

Parabola Part 4 Quiz brings attention to the fascinating world of curves through a simple story from early artillery design. Engineers noticed that cannonballs fired along a curved path always followed a predictable trajectory, and they realized that the latus rectum and focus of a parabola could help model this motion accurately. These observations showed how small changes in shape or angle could drastically change the path of an object. Such real world examples help make the transformation of parabolas easier to understand and highlight why some parabolas never touch the x-axis. This quiz allows learners to explore these ideas while connecting the math to practical applications.

Parabola Part 4

Where does the graph of y = x² touches the y-axis?

(1, 0)

(0, 1)

(2, 4)

(0, 0)

If the vertex of a parabola is at (4, −1), what is the equation?

y = (x − 4)² − 1

y = (x + 4)² − 1

y = (x − 4)² + 1

y = (x + 4)² + 1

If the parabola y = ax² passes through (3, 27), the value of a is?

Which equation produces a parabola that does NOT touch the x-axis?

y = x² − 4

y = x² + 1

y = (x − 1)²

y = x²

For y = −2x² + 8x, the x-intercepts are?

−2 and 2

1 and 2

−4 and 0

0 and 4

What is the focus of the parabola y² = 8x?

(2, 0)

(1, 0)

(−2, 0)

(0, 2)

What is the directrix of the parabola y² = 8x?

x = 2

y = 2

x = −2

x = 1

What is the length of the latus rectum of y² = 4ax?

For the line y = m x + c to touch the parabola y² = 4 a x, which condition must be satisfied?

c = a/m

c = −a/m

c = am²

c² = am

Which line touches the parabola y² = 16x?

y = 4x + 4

y = x + 4

y = 2x + 4

y = 4x + 8

Your score is

The average score is 0%

Sample Questions from This Quiz

Where does the graph of y = x² touches the y-axis?
If the vertex of a parabola is at (4, −1), what is the equation?
If the parabola y = ax² passes through (3, 27), the value of a is?
Which equation produces a parabola that does NOT touch the x-axis?
For y = −2x² + 8x, the x-intercepts are?

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

Beyond Parabola Part 4 Quiz

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!

Parabola Part 3

Tame tricky graphs before they start acting like drama queens!

Cyclic Patterns Part 2

When math goes in circles, your brain follows too!

Number Series Part 1

Numbers have secrets, and you’re about to spill them!

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!

Number Series Part 4

Patterns hide in plain sight, waiting to be caught!