Graphing a quadratic with reflection and vertical stretch

Graphing a quadratic with reflection and vertical stretch

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers graphing quadratic functions, focusing on the parabola's vertex form. It explains how to identify the vertex and axis of symmetry, and how the coefficient A affects the graph's orientation and compression. The tutorial also demonstrates checking points on the graph and reflecting them across the axis of symmetry.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the shape of the graph of a quadratic function like y = X^2?

V-shape

Circular

U-shape

Linear

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In vertex form, what do the variables H and K represent?

The axis of symmetry and slope

The vertex coordinates

The x-intercept and y-intercept

The slope and y-intercept

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the graph of a parabola when the coefficient 'A' is less than zero?

It opens upwards

It becomes a straight line

It opens downwards

It becomes a circle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What effect does a horizontal compression have on the graph of a parabola?

It stretches the graph vertically

It compresses the graph horizontally

It shifts the graph upwards

It shifts the graph downwards

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you verify the accuracy of plotted points on a parabola?

By measuring the distance between points

By checking the slope

By using a calculator

By plugging in points into the equation

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of reflecting points across the axis of symmetry?

To determine the vertex

To ensure the graph is symmetrical

To find the slope

To calculate the y-intercept

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in graphing a parabola using vertex form?

Calculating the slope

Reflecting points across the axis of symmetry

Drawing the axis of symmetry

Finding the y-intercept