What do I need to know to graph a quadratic in vertex form

What do I need to know to graph a quadratic in vertex form

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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The video tutorial covers graphing quadratics in vertex form, explaining the vertex form equation, identifying the vertex, and understanding translations. It discusses the end behavior of graphs based on the value of 'a' and the parent graph of quadratics. The tutorial also covers evaluating points to plot graphs accurately.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertex form of a quadratic equation?

y = a(x - h)^2 + k

y = ax^2 + c

y = ax^2 + bx + c

y = a(x + h)^2 - k

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a parabola, what is the vertex?

The midpoint of the parabola

The lowest or highest point of the parabola

The intersection with the x-axis

The intersection with the y-axis

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a translation in graphing involve?

Reflecting the graph

Shifting the graph in different directions

Changing the shape of the graph

Rotating the graph

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the value of 'a' affect the end behavior of a quadratic graph?

It determines the axis of symmetry

It determines the vertex position

It determines the direction the graph opens

It determines the width of the graph

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the parent graph of a quadratic function?

y = 1/x

y = x^2

y = x^3

y = x

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to evaluate points on a transformed graph?

To determine the slope of the graph

To determine the axis of symmetry

To accurately plot the graph

To find the exact position of the vertex

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you evaluate points on a quadratic graph?

By using the quadratic formula

By using the midpoint formula

By creating a table and plugging in values

By finding the derivative