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Understanding Parabolas

Total questions: 1

Worksheet time: 16mins

Name
Class
Date

1-10.

Answer the questions below after watching the video

1.

What shape does a quadratic equation represent when graphed?

a)

A straight line

b)

A U-shaped curve

c)

An oval

d)

A circle

2.

If the coefficient of x^2 (a) is positive, in which direction does the parabola open?

a)

To the left

b)

To the right

c)

Downwards

d)

Upwards

3.

For the equation x^2 + 2x + 5, what is the direction of the parabola?

a)

Downwards

b)

Upwards

c)

To the left

d)

To the right

4.

If a parabola's equation is -x^2 + 3x + 7, what is the direction of the opening?

a)

To the right

b)

Upwards

c)

Downwards

d)

To the left

5.

What is the formula for the axis of symmetry of a parabola?

a)

x = a / b

b)

x = b / 2a

c)

x = -a / b

d)

x = -b / 2a

6.

How is the vertex of a parabola defined?

a)

The highest point on the graph

b)

The point where the graph intersects the y-axis

c)

The lowest or highest point on the graph

d)

The point where the graph intersects the x-axis

7.

What does the vertex represent when it is the highest point on the graph?

a)

Minimum

b)

Maximum

c)

Root of the equation

d)

Axis of symmetry

8.

What is the axis of symmetry for the equation x^2 + 8x + 15?

a)

x = -8

b)

x = 4

c)

x = 8

d)

x = -4

9.

What is the axis of symmetry for the equation x^2 - 4x + 4?

a)

x = 2

b)

x = -2

c)

x = -4

d)

x = 4

10.

For the equation x^2 - 10x + 25, what is the vertex?

a)

(0, 5)

b)

(-5, 0)

c)

(5, -25)

d)

(5, 0)