Math / Geometry

QuestionThe axis of symmetry is the horizontal line at the vertex. True False

Studdy Solution

STEP 1

What is this asking? Is the axis of symmetry of a parabola the horizontal line that passes through the vertex? Watch out! Remember the difference between a horizontal and a vertical line!
A parabola can open upwards or downwards.

STEP 2

1. Visualize the Parabola
2. Define Axis of Symmetry
3. Consider Different Parabolas

STEP 3

Let's imagine a parabola!
Picture that classic "U" shape.
It could be opening upwards, like a smile, or downwards, like a frown.

STEP 4

The axis of symmetry is the line that divides the parabola perfectly in half.
It's like a mirror – one side of the parabola is a reflection of the other.

STEP 5

If our parabola opens upwards (like $y = x^2$ ), the axis of symmetry is a vertical line.
It cuts right through the lowest point, the vertex.

STEP 6

Now, if our parabola opens downwards (like $y = -x^2$ ), the axis of symmetry is still a vertical line!
It goes straight through the highest point, which is also the vertex.

STEP 7

False! The axis of symmetry passes through the vertex, but it's a vertical line, not a horizontal one!

Was this helpful?

QuestionThe axis of symmetry is the horizontal line at the vertex. True False

Studdy Solution

STEP 1

What is this asking? Is the axis of symmetry of a parabola the horizontal line that passes through the vertex? Watch out! Remember the difference between a horizontal and a vertical line!
A parabola can open upwards or downwards.

STEP 2

1. Visualize the Parabola
2. Define Axis of Symmetry
3. Consider Different Parabolas

STEP 3

Let's imagine a parabola!
Picture that classic "U" shape.
It could be opening upwards, like a smile, or downwards, like a frown.

STEP 4

The axis of symmetry is the line that divides the parabola perfectly in half.
It's like a mirror – one side of the parabola is a reflection of the other.

STEP 5

If our parabola opens upwards (like $y = x^2$ ), the axis of symmetry is a vertical line.
It cuts right through the lowest point, the vertex.

STEP 6

Now, if our parabola opens downwards (like $y = -x^2$ ), the axis of symmetry is still a vertical line!
It goes straight through the highest point, which is also the vertex.

STEP 7

False! The axis of symmetry passes through the vertex, but it's a vertical line, not a horizontal one!

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionThe axis of symmetry is the horizontal line at the vertex. True False

Studdy Solution

STEP 1

What is this asking? Is the axis of symmetry of a parabola the horizontal line that passes through the vertex? Watch out! Remember the *difference* between a horizontal and a vertical line!A parabola can open upwards or downwards.

STEP 2

1. Visualize the Parabola2. Define Axis of Symmetry3. Consider Different Parabolas

STEP 3

Let's imagine a parabola!Picture that classic "U" shape.It could be opening upwards, like a smile, or downwards, like a frown.

STEP 4

The **axis of symmetry** is the line that divides the parabola perfectly in half.It's like a mirror – one side of the parabola is a reflection of the other.

STEP 5

If our parabola opens upwards (like y=x2y = x^2y=x2), the axis of symmetry is a *vertical* line.It cuts right through the **lowest point**, the **vertex**.

STEP 6

Now, if our parabola opens downwards (like y=−x2y = -x^2y=−x2), the axis of symmetry is *still* a vertical line!It goes straight through the **highest point**, which is also the **vertex**.

STEP 7

False! The axis of symmetry passes through the vertex, but it's a *vertical* line, not a horizontal one!

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

What is this asking? Is the axis of symmetry of a parabola the horizontal line that passes through the vertex? Watch out! Remember the difference between a horizontal and a vertical line!
A parabola can open upwards or downwards.

1. Visualize the Parabola
2. Define Axis of Symmetry
3. Consider Different Parabolas

Let's imagine a parabola!
Picture that classic "U" shape.
It could be opening upwards, like a smile, or downwards, like a frown.

The axis of symmetry is the line that divides the parabola perfectly in half.
It's like a mirror – one side of the parabola is a reflection of the other.

If our parabola opens upwards (like $y = x^2$ ), the axis of symmetry is a vertical line.
It cuts right through the lowest point, the vertex.

Now, if our parabola opens downwards (like $y = -x^2$ ), the axis of symmetry is still a vertical line!
It goes straight through the highest point, which is also the vertex.

False! The axis of symmetry passes through the vertex, but it's a vertical line, not a horizontal one!